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317425152 = 2931118787
BaseRepresentation
bin10010111010111…
…000011000000000
3211010021212110010
4102322320120000
51122230101102
651255304520
710603032522
oct2272703000
9733255403
10317425152
111531a6240
128a37b140
13509bc245
143022ba12
151cd01d6c
hex12eb8600

317425152 has 80 divisors (see below), whose sum is σ = 922565952. Its totient is φ = 96184320.

The previous prime is 317425063. The next prime is 317425177. The reversal of 317425152 is 251524713.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7503 + ... + 26289.

Almost surely, 2317425152 is an apocalyptic number.

317425152 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 317425152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461282976).

317425152 is an abundant number, since it is smaller than the sum of its proper divisors (605140800).

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

317425152 is a wasteful number, since it uses less digits than its factorization.

317425152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18819 (or 18803 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 317425152 is about 17816.4292718827. The cubic root of 317425152 is about 682.1508826451.

Adding to 317425152 its reverse (251524713), we get a palindrome (568949865).

The spelling of 317425152 in words is "three hundred seventeen million, four hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 5632 8448 16896 18787 37574 56361 75148 112722 150296 206657 225444 300592 413314 450888 601184 619971 826628 901776 1202368 1239942 1653256 1803552 2404736 2479884 3306512 3607104 4809472 4959768 6613024 7214208 9618944 9919536 13226048 14428416 19839072 26452096 28856832 39678144 52904192 79356288 105808384 158712576 317425152