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525928 = 23132389
BaseRepresentation
bin10000000011001101000
3222201102211
42000121220
5113312203
615134504
74320214
oct2003150
9881384
10525928
1132a157
12214434
13155500
14d9944
15a5c6d
hex80668

525928 has 24 divisors (see below), whose sum is σ = 1070550. Its totient is φ = 242112.

The previous prime is 525923. The next prime is 525937. The reversal of 525928 is 829525.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 191844 + 334084 = 438^2 + 578^2 .

It is a super-2 number, since 2×5259282 = 553200522368, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 525928.

It is not an unprimeable number, because it can be changed into a prime (525923) by changing a digit.

525928 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 5 ways as a sum of consecutive naturals, for example, 1158 + ... + 1546.

2525928 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 525928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535275).

525928 is an abundant number, since it is smaller than the sum of its proper divisors (544622).

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

525928 is a wasteful number, since it uses less digits than its factorization.

525928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 404 counting only the distinct ones).

The product of its digits is 7200, while the sum is 31.

The square root of 525928 is about 725.2089354110. The cubic root of 525928 is about 80.7189364426.

The spelling of 525928 in words is "five hundred twenty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 104 169 338 389 676 778 1352 1556 3112 5057 10114 20228 40456 65741 131482 262964 525928