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157501056 = 27317231049
BaseRepresentation
bin10010110001101…
…00011010000000
3101222100212211110
421120310122000
5310310013211
623343443320
73621510516
oct1130643200
9358325743
10157501056
11809a5969
12448b6540
13268271bb
1416cbc4b6
15dc61ea6
hex9634680

157501056 has 128 divisors (see below), whose sum is σ = 462672000. Its totient is φ = 47218688.

The previous prime is 157501027. The next prime is 157501061. The reversal of 157501056 is 650105751.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1575010562 = 49613165282230272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149620 + ... + 150668.

It is an arithmetic number, because the mean of its divisors is an integer number (3614625).

Almost surely, 2157501056 is an apocalyptic number.

157501056 is a gapful number since it is divisible by the number (16) 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 157501056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231336000).

157501056 is an abundant number, since it is smaller than the sum of its proper divisors (305170944).

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

157501056 is a wasteful number, since it uses less digits than its factorization.

157501056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 30.

The square root of 157501056 is about 12549.9424699877. The cubic root of 157501056 is about 540.0423560741.

The spelling of 157501056 in words is "one hundred fifty-seven million, five hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 92 96 102 128 136 138 184 192 204 272 276 368 384 391 408 544 552 736 782 816 1049 1088 1104 1173 1472 1564 1632 2098 2176 2208 2346 2944 3128 3147 3264 4196 4416 4692 6256 6294 6528 8392 8832 9384 12512 12588 16784 17833 18768 24127 25024 25176 33568 35666 37536 48254 50048 50352 53499 67136 71332 72381 75072 96508 100704 106998 134272 142664 144762 150144 193016 201408 213996 285328 289524 386032 402816 410159 427992 570656 579048 772064 820318 855984 1141312 1158096 1230477 1544128 1640636 1711968 2282624 2316192 2460954 3088256 3281272 3423936 4632384 4921908 6562544 6847872 9264768 9843816 13125088 19687632 26250176 39375264 52500352 78750528 157501056