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5756256 = 2532112379
BaseRepresentation
bin10101111101010101100000
3101211110002200
4111331111200
52433200011
6323213200
766633042
oct25752540
911743080
105756256
113281840
121b17200
13126708c
14a9ba92
1578a856
hex57d560

5756256 has 144 divisors (see below), whose sum is σ = 18869760. Its totient is φ = 1647360.

The previous prime is 5756243. The next prime is 5756263. The reversal of 5756256 is 6526575.

It is a tau number, because it is divible by the number of its divisors (144).

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 5756256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72825 + ... + 72903.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

Almost surely, 25756256 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 5756256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434880).

5756256 is an abundant number, since it is smaller than the sum of its proper divisors (13113504).

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

5756256 is a wasteful number, since it uses less digits than its factorization.

5756256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 5756256 is about 2399.2198732088. The cubic root of 5756256 is about 179.2173426030.

The spelling of 5756256 in words is "five million, seven hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 32 33 36 44 46 48 66 69 72 79 88 92 96 99 132 138 144 158 176 184 198 207 237 253 264 276 288 316 352 368 396 414 474 506 528 552 632 711 736 759 792 828 869 948 1012 1056 1104 1264 1422 1518 1584 1656 1738 1817 1896 2024 2208 2277 2528 2607 2844 3036 3168 3312 3476 3634 3792 4048 4554 5214 5451 5688 6072 6624 6952 7268 7584 7821 8096 9108 10428 10902 11376 12144 13904 14536 15642 16353 18216 19987 20856 21804 22752 24288 27808 29072 31284 32706 36432 39974 41712 43608 58144 59961 62568 65412 72864 79948 83424 87216 119922 125136 130824 159896 174432 179883 239844 250272 261648 319792 359766 479688 523296 639584 719532 959376 1439064 1918752 2878128 5756256