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315056 = 2472997
BaseRepresentation
bin1001100111010110000
3121000011202
41030322300
540040211
610430332
72451350
oct1147260
9530152
10315056
111a5785
121323a8
13b0531
1482b60
156353b
hex4ceb0

315056 has 40 divisors (see below), whose sum is σ = 729120. Its totient is φ = 129024.

The previous prime is 315047. The next prime is 315059. The reversal of 315056 is 650513.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (315059) by changing a digit.

315056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3200 + ... + 3296.

It is an arithmetic number, because the mean of its divisors is an integer number (18228).

2315056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364560).

315056 is an abundant number, since it is smaller than the sum of its proper divisors (414064).

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

315056 is a wasteful number, since it uses less digits than its factorization.

315056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 315056 is about 561.2984945642. The cubic root of 315056 is about 68.0449529752.

Adding to 315056 its reverse (650513), we get a palindrome (965569).

It can be divided in two parts, 3150 and 56, that multiplied together give a square (176400 = 4202).

The spelling of 315056 in words is "three hundred fifteen thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 97 112 116 194 203 232 388 406 464 679 776 812 1358 1552 1624 2716 2813 3248 5432 5626 10864 11252 19691 22504 39382 45008 78764 157528 315056