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525996 = 223219769
BaseRepresentation
bin10000000011010101100
3222201112100
42000122230
5113312441
615135100
74320342
oct2003254
9881470
10525996
1132a209
12214490
13155553
14d9992
15a5cb6
hex806ac

525996 has 36 divisors (see below), whose sum is σ = 1401400. Its totient is φ = 165888.

The previous prime is 525983. The next prime is 526027. The reversal of 525996 is 699525.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a d-powerful number, because it can be written as 53 + 219 + 92 + 53 + 92 + 64 .

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 525996.

It is an unprimeable number.

525996 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300 + ... + 1068.

2525996 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 525996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700700).

525996 is an abundant number, since it is smaller than the sum of its proper divisors (875404).

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

525996 is a wasteful number, since it uses less digits than its factorization.

525996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 793 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 525996 is about 725.2558169363. The cubic root of 525996 is about 80.7224151514.

It can be divided in two parts, 525 and 996, that added together give a square (1521 = 392).

The spelling of 525996 in words is "five hundred twenty-five thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 769 1538 2307 3076 4614 6921 9228 13842 14611 27684 29222 43833 58444 87666 131499 175332 262998 525996