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315528 = 23313147
BaseRepresentation
bin1001101000010001000
3121000211020
41031002020
540044103
610432440
72452623
oct1150210
9530736
10315528
111a6074
12132720
13b0805
1482dba
1563753
hex4d088

315528 has 16 divisors (see below), whose sum is σ = 788880. Its totient is φ = 105168.

The previous prime is 315527. The next prime is 315529. The reversal of 315528 is 825513.

It is an interprime number because it is at equal distance from previous prime (315527) and next prime (315529).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 13147 = 315528 / (3 + 1 + 5 + 5 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 315498 and 315507.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 315528.

It is not an unprimeable number, because it can be changed into a prime (315521) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6550 + ... + 6597.

It is an arithmetic number, because the mean of its divisors is an integer number (49305).

2315528 is an apocalyptic number.

It is an amenable number.

315528 is an abundant number, since it is smaller than the sum of its proper divisors (473352).

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

315528 is a wasteful number, since it uses less digits than its factorization.

315528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13156 (or 13152 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 315528 is about 561.7187908554. The cubic root of 315528 is about 68.0789164530.

The spelling of 315528 in words is "three hundred fifteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 13147 26294 39441 52588 78882 105176 157764 315528