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157317312 = 2633126431
BaseRepresentation
bin10010110000001…
…11100011000000
3101222000112210010
421120013203000
5310233123222
623335504520
73620114025
oct1130074300
9358015703
10157317312
118088a909
1244828140
1326791689
1416c7154c
15dc2780c
hex96078c0

157317312 has 56 divisors (see below), whose sum is σ = 429678592. Its totient is φ = 50745600.

The previous prime is 157317311. The next prime is 157317367. The reversal of 157317312 is 213713751.

It is a self number, because there is not a number n which added to its sum of digits gives 157317312.

It is not an unprimeable number, because it can be changed into a prime (157317311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7264 + ... + 19167.

It is an arithmetic number, because the mean of its divisors is an integer number (7672832).

Almost surely, 2157317312 is an apocalyptic number.

157317312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157317312 is an abundant number, since it is smaller than the sum of its proper divisors (272361280).

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

157317312 is a wasteful number, since it uses less digits than its factorization.

157317312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26477 (or 26467 counting only the distinct ones).

The product of its digits is 4410, while the sum is 30.

The square root of 157317312 is about 12542.6198220308. The cubic root of 157317312 is about 539.8322661484.

The spelling of 157317312 in words is "one hundred fifty-seven million, three hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 26431 52862 79293 105724 158586 211448 317172 422896 634344 819361 845792 1268688 1638722 1691584 2458083 2537376 3277444 4916166 5074752 6554888 9832332 13109776 19664664 26219552 39329328 52439104 78658656 157317312