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1387639350 = 23552196011
BaseRepresentation
bin101001010110101…
…1011001000110110
310120201002101100000
41102231123020312
510320213424400
6345405532130
746246511526
oct12255331066
93521071300
101387639350
11652316a89
12328874046
13191641596
14d2415686
1581c52600
hex52b5b236

1387639350 has 144 divisors (see below), whose sum is σ = 4070364480. Its totient is φ = 350503200.

The previous prime is 1387639343. The next prime is 1387639361. The reversal of 1387639350 is 539367831.

1387639350 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 639 + 3 + 5 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1387639296 and 1387639305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 227845 + ... + 233855.

It is an arithmetic number, because the mean of its divisors is an integer number (28266420).

Almost surely, 21387639350 is an apocalyptic number.

1387639350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1387639350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035182240).

1387639350 is an abundant number, since it is smaller than the sum of its proper divisors (2682725130).

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

1387639350 is a wasteful number, since it uses less digits than its factorization.

1387639350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6057 (or 6040 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 1387639350 is about 37251.0315293416. The cubic root of 1387639350 is about 1115.3868900774.

The spelling of 1387639350 in words is "one billion, three hundred eighty-seven million, six hundred thirty-nine thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 54 57 75 81 90 95 114 135 150 162 171 190 225 243 270 285 342 405 450 475 486 513 570 675 810 855 950 1026 1215 1350 1425 1539 1710 2025 2430 2565 2850 3078 4050 4275 4617 5130 6011 6075 7695 8550 9234 12022 12150 12825 15390 18033 23085 25650 30055 36066 38475 46170 54099 60110 76950 90165 108198 114209 115425 150275 162297 180330 228418 230850 270495 300550 324594 342627 450825 486891 540990 571045 685254 811485 901650 973782 1027881 1142090 1352475 1460673 1622970 1713135 2055762 2434455 2704950 2855225 2921346 3083643 3426270 4057425 4868910 5139405 5710450 6167286 7303365 8114850 8565675 9250929 10278810 12172275 14606730 15418215 17131350 18501858 24344550 25697025 27752787 30836430 36516825 46254645 51394050 55505574 73033650 77091075 92509290 138763935 154182150 231273225 277527870 462546450 693819675 1387639350