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157663272 = 233133116301
BaseRepresentation
bin10010110010111…
…00000000101000
3101222200010100110
421121130000220
5310330211042
623351134320
73623054454
oct1131340050
9358603313
10157663272
1180aa6828
12449743a0
1326882ca0
1416d21664
15dc9509c
hex965c028

157663272 has 64 divisors (see below), whose sum is σ = 438197760. Its totient is φ = 46944000.

The previous prime is 157663271. The next prime is 157663277. The reversal of 157663272 is 272366751.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 157663272.

It is not an unprimeable number, because it can be changed into a prime (157663271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1522 + ... + 17822.

It is an arithmetic number, because the mean of its divisors is an integer number (6846840).

Almost surely, 2157663272 is an apocalyptic number.

157663272 is a gapful number since it is divisible by the number (12) 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 157663272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219098880).

157663272 is an abundant number, since it is smaller than the sum of its proper divisors (280534488).

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

157663272 is a wasteful number, since it uses less digits than its factorization.

157663272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16354 (or 16350 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

The square root of 157663272 is about 12556.4036252424. The cubic root of 157663272 is about 540.2276954720.

The spelling of 157663272 in words is "one hundred fifty-seven million, six hundred sixty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2418 3224 4836 9672 16301 32602 48903 65204 97806 130408 195612 211913 391224 423826 505331 635739 847652 1010662 1271478 1515993 1695304 2021324 2542956 3031986 4042648 5085912 6063972 6569303 12127944 13138606 19707909 26277212 39415818 52554424 78831636 157663272