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315056832 = 26316310067
BaseRepresentation
bin10010110001110…
…110001011000000
3210221211112201120
4102301312023000
51121123304312
651132432240
710543640016
oct2261661300
9727745646
10315056832
11151928952
1289618680
135037027c
142dbb28b6
151c9d528c
hex12c762c0

315056832 has 56 divisors (see below), whose sum is σ = 838785216. Its totient is φ = 104364288.

The previous prime is 315056827. The next prime is 315056837. The reversal of 315056832 is 238650513.

It is an interprime number because it is at equal distance from previous prime (315056827) and next prime (315056837).

It is a junction number, because it is equal to n+sod(n) for n = 315056793 and 315056802.

It is not an unprimeable number, because it can be changed into a prime (315056837) 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, 26263 + ... + 36329.

Almost surely, 2315056832 is an apocalyptic number.

315056832 is a gapful number since it is divisible by the number (32) 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 315056832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419392608).

315056832 is an abundant number, since it is smaller than the sum of its proper divisors (523728384).

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

315056832 is a wasteful number, since it uses less digits than its factorization.

315056832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10245 (or 10235 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 315056832 is about 17749.8403373101. The cubic root of 315056832 is about 680.4501287287.

The spelling of 315056832 in words is "three hundred fifteen million, fifty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 163 192 326 489 652 978 1304 1956 2608 3912 5216 7824 10067 10432 15648 20134 30201 31296 40268 60402 80536 120804 161072 241608 322144 483216 644288 966432 1640921 1932864 3281842 4922763 6563684 9845526 13127368 19691052 26254736 39382104 52509472 78764208 105018944 157528416 315056832