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315275536 = 242321932
BaseRepresentation
bin10010110010101…
…011100100010000
3210222020122201201
4102302223210100
51121202304121
651141240544
710545540442
oct2262534420
9728218651
10315275536
11151a681a4
1289703154
1350418994
142dc2c492
151ca29e91
hex12cab910

315275536 has 45 divisors (see below), whose sum is σ = 641885349. Its totient is φ = 150002688.

The previous prime is 315275461. The next prime is 315275551. The reversal of 315275536 is 635572513.

The square root of 315275536 is 17756.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 76387600 + 238887936 = 8740^2 + 15456^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 315275495 and 315275504.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1633456 + ... + 1633648.

Almost surely, 2315275536 is an apocalyptic number.

315275536 is the 17756-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315275536

315275536 is an abundant number, since it is smaller than the sum of its proper divisors (326609813).

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

315275536 is an equidigital number, since it uses as much as digits as its factorization.

315275536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 218 counting only the distinct ones).

The product of its digits is 94500, while the sum is 37.

The cubic root of 315275536 is about 680.6075423846.

The spelling of 315275536 in words is "three hundred fifteen million, two hundred seventy-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 23 46 92 184 193 368 386 529 772 1058 1544 2116 3088 4232 4439 8464 8878 17756 35512 37249 71024 74498 102097 148996 204194 297992 408388 595984 816776 856727 1633552 1713454 3426908 6853816 13707632 19704721 39409442 78818884 157637768 315275536