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315557442 = 232532792
BaseRepresentation
bin10010110011110…
…000011001000010
3210222202222102200
4102303300121002
51121240314232
651151254030
710551123354
oct2263603102
9728688380
10315557442
1115213aa82
128981a316
13504b70a5
142dca30d4
151ca8377c
hex12cf0642

315557442 has 54 divisors (see below), whose sum is σ = 705783897. Its totient is φ = 101894832.

The previous prime is 315557413. The next prime is 315557477. The reversal of 315557442 is 244755513.

315557442 is a `hidden beast` number, since 31 + 55 + 574 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 299324601 + 16232841 = 17301^2 + 4029^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=12561.

It is a junction number, because it is equal to n+sod(n) for n = 315557397 and 315557406.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3994359 + ... + 3994437.

Almost surely, 2315557442 is an apocalyptic number.

315557442 is an abundant number, since it is smaller than the sum of its proper divisors (390226455).

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

315557442 is an equidigital number, since it uses as much as digits as its factorization.

315557442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 137 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 315557442 is about 17763.9365569684. The cubic root of 315557442 is about 680.8103387429.

The spelling of 315557442 in words is "three hundred fifteen million, five hundred fifty-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 53 79 106 158 159 237 318 474 477 711 954 1422 2809 4187 5618 6241 8374 8427 12482 12561 16854 18723 25122 25281 37446 37683 50562 56169 75366 112338 221911 330773 443822 661546 665733 992319 1331466 1984638 1997199 2976957 3994398 5953914 17530969 35061938 52592907 105185814 157778721 315557442