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315078972 = 223137128447
BaseRepresentation
bin10010110001111…
…011100100111100
3210221212200002120
4102301323210330
51121130011342
651133122540
710544061405
oct2261734474
9727780076
10315078972
1115194354a
1289629450
135037a380
142dbba9ac
151c9dbaec
hex12c7b93c

315078972 has 48 divisors (see below), whose sum is σ = 802916352. Its totient is φ = 95578560.

The previous prime is 315078971. The next prime is 315078977. The reversal of 315078972 is 279870513.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315078971) 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, 3148 + ... + 25299.

It is an arithmetic number, because the mean of its divisors is an integer number (16727424).

Almost surely, 2315078972 is an apocalyptic number.

It is an amenable number.

315078972 is an abundant number, since it is smaller than the sum of its proper divisors (487837380).

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

315078972 is a wasteful number, since it uses less digits than its factorization.

315078972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28538 (or 28536 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 315078972 is about 17750.4639939355. The cubic root of 315078972 is about 680.4660674541.

The spelling of 315078972 in words is "three hundred fifteen million, seventy-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 213 284 426 852 923 1846 2769 3692 5538 11076 28447 56894 85341 113788 170682 341364 369811 739622 1109433 1479244 2019737 2218866 4039474 4437732 6059211 8078948 12118422 24236844 26256581 52513162 78769743 105026324 157539486 315078972