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5715936 = 253289223
BaseRepresentation
bin10101110011011111100000
3101202101210100
4111303133200
52430402221
6322302400
766404352
oct25633740
911671710
105715936
113254516
121ab7a00
131251915
14a8b0d2
1577d926
hex5737e0

5715936 has 72 divisors (see below), whose sum is σ = 16511040. Its totient is φ = 1875456.

The previous prime is 5715901. The next prime is 5715949. The reversal of 5715936 is 6395175.

It is a happy number.

5715936 is a `hidden beast` number, since 571 + 59 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5715936.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25521 + ... + 25743.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 25715936 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 5715936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520).

5715936 is an abundant number, since it is smaller than the sum of its proper divisors (10795104).

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

5715936 is a wasteful number, since it uses less digits than its factorization.

5715936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 317 counting only the distinct ones).

The product of its digits is 28350, while the sum is 36.

The square root of 5715936 is about 2390.8023757726. The cubic root of 5715936 is about 178.7979159855.

The spelling of 5715936 in words is "five million, seven hundred fifteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 223 267 288 356 446 534 669 712 801 892 1068 1338 1424 1602 1784 2007 2136 2676 2848 3204 3568 4014 4272 5352 6408 7136 8028 8544 10704 12816 16056 19847 21408 25632 32112 39694 59541 64224 79388 119082 158776 178623 238164 317552 357246 476328 635104 714492 952656 1428984 1905312 2857968 5715936