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315560052 = 223217515621
BaseRepresentation
bin10010110011110…
…001000001110100
3210222210010000100
4102303301001310
51121240410202
651151314100
710551134103
oct2263610164
9728703010
10315560052
11152141a35
128981b930
13504b8332
142dca403a
151ca8441c
hex12cf1074

315560052 has 36 divisors (see below), whose sum is σ = 844588836. Its totient is φ = 98999040.

The previous prime is 315560051. The next prime is 315560059. The reversal of 315560052 is 250065513.

315560052 is a `hidden beast` number, since 3 + 1 + 5 + 5 + 600 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 133957476 + 181602576 = 11574^2 + 13476^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 315559998 and 315560025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315560051) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 257199 + ... + 258422.

It is an arithmetic number, because the mean of its divisors is an integer number (23460801).

Almost surely, 2315560052 is an apocalyptic number.

It is an amenable number.

315560052 is an abundant number, since it is smaller than the sum of its proper divisors (529028784).

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

315560052 is a wasteful number, since it uses less digits than its factorization.

315560052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515648 (or 515643 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 315560052 is about 17764.0100202629. The cubic root of 315560052 is about 680.8122157494.

The spelling of 315560052 in words is "three hundred fifteen million, five hundred sixty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 515621 1031242 1546863 2062484 3093726 4640589 6187452 8765557 9281178 17531114 18562356 26296671 35062228 52593342 78890013 105186684 157780026 315560052