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527796 = 2236181
BaseRepresentation
bin10000000110110110100
3222211000000
42000312310
5113342141
615151300
74325523
oct2006664
9884000
10527796
113305a5
12215530
13156309
14da4ba
15a65b6
hex80db4

527796 has 42 divisors (see below), whose sum is σ = 1392482. Its totient is φ = 174960.

The previous prime is 527789. The next prime is 527803. The reversal of 527796 is 697725.

It is an interprime number because it is at equal distance from previous prime (527789) and next prime (527803).

It can be written as a sum of positive squares in only one way, i.e., 291600 + 236196 = 540^2 + 486^2 .

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

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 527796.

It is a congruent number.

It is an unprimeable number.

527796 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 13 ways as a sum of consecutive naturals, for example, 2826 + ... + 3006.

2527796 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 527796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696241).

527796 is an abundant number, since it is smaller than the sum of its proper divisors (864686).

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

527796 is a wasteful number, since it uses less digits than its factorization.

527796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 186 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 527796 is about 726.4956985420. The cubic root of 527796 is about 80.8143898170.

The spelling of 527796 in words is "five hundred twenty-seven thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 181 243 324 362 486 543 724 729 972 1086 1458 1629 2172 2916 3258 4887 6516 9774 14661 19548 29322 43983 58644 87966 131949 175932 263898 527796