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5657216 = 27193229
BaseRepresentation
bin10101100101001010000000
3101122102020112
4111211022000
52422012331
6321130452
766041225
oct25451200
911572215
105657216
113214394
121a89a28
131230c86
14a7394c
1576b32b
hex565280

5657216 has 32 divisors (see below), whose sum is σ = 11378100. Its totient is φ = 2801664.

The previous prime is 5657207. The next prime is 5657251. The reversal of 5657216 is 6127565.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5569600 + 87616 = 2360^2 + 296^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24590 + ... + 24818.

Almost surely, 25657216 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 5657216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5689050).

5657216 is an abundant number, since it is smaller than the sum of its proper divisors (5720884).

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

5657216 is a wasteful number, since it uses less digits than its factorization.

5657216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 424 counting only the distinct ones).

The product of its digits is 12600, while the sum is 32.

The square root of 5657216 is about 2378.4902774659. The cubic root of 5657216 is about 178.1835416894.

The spelling of 5657216 in words is "five million, six hundred fifty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 193 229 386 458 772 916 1544 1832 3088 3664 6176 7328 12352 14656 24704 29312 44197 88394 176788 353576 707152 1414304 2828608 5657216