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48372912 = 24327371297
BaseRepresentation
bin1011100010000…
…1110010110000
310101000121011100
42320201302300
544340413122
64444444400
71125106620
oct270416260
9111017140
1048372912
112533a315
1214249700
13a038933
1465d2880
1543a7aac
hex2e21cb0

48372912 has 120 divisors (see below), whose sum is σ = 159020576. Its totient is φ = 13436928.

The previous prime is 48372889. The next prime is 48372923. The reversal of 48372912 is 21927384.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36648 + ... + 37944.

Almost surely, 248372912 is an apocalyptic number.

48372912 is a gapful number since it is divisible by the number (42) 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 48372912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79510288).

48372912 is an abundant number, since it is smaller than the sum of its proper divisors (110647664).

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

48372912 is a wasteful number, since it uses less digits than its factorization.

48372912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1346 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 48372912 is about 6955.0637667817. The cubic root of 48372912 is about 364.3628390996.

It can be divided in two parts, 48372 and 912, that added together give a square (49284 = 2222).

The spelling of 48372912 in words is "forty-eight million, three hundred seventy-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 37 42 48 56 63 72 74 84 111 112 126 144 148 168 222 252 259 296 333 336 444 504 518 592 666 777 888 1008 1036 1297 1332 1554 1776 2072 2331 2594 2664 3108 3891 4144 4662 5188 5328 6216 7782 9079 9324 10376 11673 12432 15564 18158 18648 20752 23346 27237 31128 36316 37296 46692 47989 54474 62256 72632 81711 93384 95978 108948 143967 145264 163422 186768 191956 217896 287934 326844 335923 383912 431901 435792 575868 653688 671846 767824 863802 1007769 1151736 1307376 1343692 1727604 2015538 2303472 2687384 3023307 3455208 4031076 5374768 6046614 6910416 8062152 12093228 16124304 24186456 48372912