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553956 = 223135367
BaseRepresentation
bin10000111001111100100
31001010212220
42013033210
5120211311
615512340
74465014
oct2071744
91033786
10553956
11349217
122286b0
131651b0
14105c44
15ae206
hex873e4

553956 has 48 divisors (see below), whose sum is σ = 1439424. Its totient is φ = 164736.

The previous prime is 553933. The next prime is 553961. The reversal of 553956 is 659355.

553956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8235 + ... + 8301.

It is an arithmetic number, because the mean of its divisors is an integer number (29988).

2553956 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 553956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719712).

553956 is an abundant number, since it is smaller than the sum of its proper divisors (885468).

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

553956 is a wasteful number, since it uses less digits than its factorization.

553956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 138 counting only the distinct ones).

The product of its digits is 20250, while the sum is 33.

The square root of 553956 is about 744.2822045434. The cubic root of 553956 is about 82.1280964386.

The spelling of 553956 in words is "five hundred fifty-three thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 67 78 106 134 156 159 201 212 268 318 402 636 689 804 871 1378 1742 2067 2613 2756 3484 3551 4134 5226 7102 8268 10452 10653 14204 21306 42612 46163 92326 138489 184652 276978 553956