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315125252 = 2213291012069
BaseRepresentation
bin10010110010000…
…110111000000100
3210221222000120122
4102302012320010
51121133002002
651134121112
710544343341
oct2262067004
9727860518
10315125252
111519752a2
1289650198
1350395460
142dbcd7c8
151c9ea6a2
hex12c86e04

315125252 has 48 divisors (see below), whose sum is σ = 620751600. Its totient is φ = 138969600.

The previous prime is 315125201. The next prime is 315125269. The reversal of 315125252 is 252521513.

It can be written as a sum of positive squares in 8 ways, for example, as 1976836 + 313148416 = 1406^2 + 17696^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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 15 ways as a sum of consecutive naturals, for example, 151274 + ... + 153342.

It is an arithmetic number, because the mean of its divisors is an integer number (12932325).

Almost surely, 2315125252 is an apocalyptic number.

It is an amenable number.

315125252 is a deficient number, since it is larger than the sum of its proper divisors (305626348).

315125252 is a wasteful number, since it uses less digits than its factorization.

315125252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2214 counting only the distinct ones).

The product of its digits is 3000, while the sum is 26.

The square root of 315125252 is about 17751.7675739629. The cubic root of 315125252 is about 680.4993823059.

Adding to 315125252 its reverse (252521513), we get a palindrome (567646765).

The spelling of 315125252 in words is "three hundred fifteen million, one hundred twenty-five thousand, two hundred fifty-two".

Divisors: 1 2 4 13 26 29 52 58 101 116 202 377 404 754 1313 1508 2069 2626 2929 4138 5252 5858 8276 11716 26897 38077 53794 60001 76154 107588 120002 152308 208969 240004 417938 780013 835876 1560026 2716597 3120052 5433194 6060101 10866388 12120202 24240404 78781313 157562626 315125252