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315279264 = 2534397481
BaseRepresentation
bin10010110010101…
…100011110100000
3210222020211211210
4102302230132200
51121202414024
651141310120
710545554346
oct2262543640
9728224753
10315279264
11151a6aa83
1289705340
135041a5a1
142dc2d996
151ca2b129
hex12cac7a0

315279264 has 48 divisors (see below), whose sum is σ = 829604160. Its totient is φ = 104839680.

The previous prime is 315279253. The next prime is 315279281. The reversal of 315279264 is 462972513.

It is a tau number, because it is divible by the number of its divisors (48).

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, 38404 + ... + 45884.

It is an arithmetic number, because the mean of its divisors is an integer number (17283420).

Almost surely, 2315279264 is an apocalyptic number.

It is an amenable number.

315279264 is an abundant number, since it is smaller than the sum of its proper divisors (514324896).

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

315279264 is a wasteful number, since it uses less digits than its factorization.

315279264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7933 (or 7925 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 315279264 is about 17756.1049782885. The cubic root of 315279264 is about 680.6102250062.

The spelling of 315279264 in words is "three hundred fifteen million, two hundred seventy-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 439 878 1317 1756 2634 3512 5268 7024 7481 10536 14048 14962 21072 22443 29924 42144 44886 59848 89772 119696 179544 239392 359088 718176 3284159 6568318 9852477 13136636 19704954 26273272 39409908 52546544 78819816 105093088 157639632 315279264