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316527872 = 284153569
BaseRepresentation
bin10010110111011…
…101010100000000
3211001121021121112
4102313131110000
51122012342442
651224142452
710562304533
oct2267352400
9731537545
10316527872
11152743091
128a007a28
13507669cb
1430076a1a
151cbc6082
hex12ddd500

316527872 has 72 divisors (see below), whose sum is σ = 660600360. Its totient is φ = 151224320.

The previous prime is 316527853. The next prime is 316527901. The reversal of 316527872 is 278725613.

It can be written as a sum of positive squares in 4 ways, for example, as 541696 + 315986176 = 736^2 + 17776^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 556004 + ... + 556572.

It is an arithmetic number, because the mean of its divisors is an integer number (9175005).

Almost surely, 2316527872 is an apocalyptic number.

316527872 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 316527872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330300180).

316527872 is an abundant number, since it is smaller than the sum of its proper divisors (344072488).

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

316527872 is an equidigital number, since it uses as much as digits as its factorization.

316527872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 665 counting only the distinct ones).

The product of its digits is 141120, while the sum is 41.

The square root of 316527872 is about 17791.2301991740. The cubic root of 316527872 is about 681.5075204968.

The spelling of 316527872 in words is "three hundred sixteen million, five hundred twenty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 41 53 64 82 106 128 164 212 256 328 424 569 656 848 1138 1312 1696 2173 2276 2624 3392 4346 4552 5248 6784 8692 9104 10496 13568 17384 18208 23329 30157 34768 36416 46658 60314 69536 72832 93316 120628 139072 145664 186632 241256 278144 373264 482512 556288 746528 965024 1236437 1493056 1930048 2472874 2986112 3860096 4945748 5972224 7720192 9891496 19782992 39565984 79131968 158263936 316527872