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1387492848 = 243372319949
BaseRepresentation
bin101001010110011…
…0111010111110000
310120200210221101000
41102230313113300
510320144232343
6345402442000
746245331440
oct12254672760
93520727330
101387492848
11652226a05
12328803300
131915bc9b1
14d23b8120
1581c23ed3
hex52b375f0

1387492848 has 160 divisors (see below), whose sum is σ = 4749696000. Its totient is φ = 379171584.

The previous prime is 1387492831. The next prime is 1387492877. The reversal of 1387492848 is 8482947831.

It is a happy number.

It is a super-3 number, since 3×13874928483 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1387492794 and 1387492803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59578 + ... + 79526.

It is an arithmetic number, because the mean of its divisors is an integer number (29685600).

Almost surely, 21387492848 is an apocalyptic number.

1387492848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1387492848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374848000).

1387492848 is an abundant number, since it is smaller than the sum of its proper divisors (3362203152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1387492848 is a wasteful number, since it uses less digits than its factorization.

1387492848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19996 (or 19984 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 1387492848 is about 37249.0650620925. The cubic root of 1387492848 is about 1115.3476358429.

The spelling of 1387492848 in words is "one billion, three hundred eighty-seven million, four hundred ninety-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 36 42 46 48 54 56 63 69 72 84 92 108 112 126 138 144 161 168 184 189 207 216 252 276 322 336 368 378 414 432 483 504 552 621 644 756 828 966 1008 1104 1242 1288 1449 1512 1656 1932 2484 2576 2898 3024 3312 3864 4347 4968 5796 7728 8694 9936 11592 17388 19949 23184 34776 39898 59847 69552 79796 119694 139643 159592 179541 239388 279286 319184 359082 418929 458827 478776 538623 558572 718164 837858 917654 957552 1077246 1117144 1256787 1376481 1436328 1675716 1835308 2154492 2234288 2513574 2752962 2872656 3211789 3351432 3670616 3770361 4129443 4308984 5027148 5505924 6423578 6702864 7341232 7540722 8258886 8617968 9635367 10054296 11011848 12388329 12847156 15081444 16517772 19270734 20108592 22023696 24776658 25694312 28906101 30162888 33035544 38541468 49553316 51388624 57812202 60325776 66071088 77082936 86718303 99106632 115624404 154165872 173436606 198213264 231248808 346873212 462497616 693746424 1387492848