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315152442 = 232113674337
BaseRepresentation
bin10010110010001…
…101100000111010
3210222000101212200
4102302031200322
51121134334232
651134451030
710544515533
oct2262154072
9728011780
10315152442
11151993770
1289663a76
13503a4947
142dbd968a
151ca0377c
hex12c8d83a

315152442 has 48 divisors (see below), whose sum is σ = 747107712. Its totient is φ = 95218560.

The previous prime is 315152441. The next prime is 315152489. The reversal of 315152442 is 244251513.

It is not an unprimeable number, because it can be changed into a prime (315152441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70498 + ... + 74834.

It is an arithmetic number, because the mean of its divisors is an integer number (15564744).

Almost surely, 2315152442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315152442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373553856).

315152442 is an abundant number, since it is smaller than the sum of its proper divisors (431955270).

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

315152442 is a wasteful number, since it uses less digits than its factorization.

315152442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4723 (or 4720 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 315152442 is about 17752.5333966733. The cubic root of 315152442 is about 680.5189536202.

The spelling of 315152442 in words is "three hundred fifteen million, one hundred fifty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 367 734 1101 2202 3303 4037 4337 6606 8074 8674 12111 13011 24222 26022 36333 39033 47707 72666 78066 95414 143121 286242 429363 858726 1591679 3183358 4775037 9550074 14325111 17508469 28650222 35016938 52525407 105050814 157576221 315152442