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54026856 = 233213197293
BaseRepresentation
bin1100111000011…
…0001001101000
310202122211220200
43032012021220
5102312324411
65205552200
71224135462
oct316061150
9122584820
1054026856
11285511a4
1216115660
13b268270
147265132
154b22e56
hex3386268

54026856 has 96 divisors (see below), whose sum is σ = 158918760. Its totient is φ = 16482816.

The previous prime is 54026849. The next prime is 54026873. The reversal of 54026856 is 65862045.

54026856 is a `hidden beast` number, since 540 + 2 + 68 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54022500 + 4356 = 7350^2 + 66^2 .

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 54026856.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184246 + ... + 184538.

Almost surely, 254026856 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 54026856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79459380).

54026856 is an abundant number, since it is smaller than the sum of its proper divisors (104891904).

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

54026856 is a wasteful number, since it uses less digits than its factorization.

54026856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 54026856 is about 7350.2963205574. The cubic root of 54026856 is about 378.0389646572.

The spelling of 54026856 in words is "fifty-four million, twenty-six thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 197 234 293 312 394 468 586 591 788 879 936 1172 1182 1576 1758 1773 2344 2364 2561 2637 3516 3546 3809 4728 5122 5274 7032 7092 7618 7683 10244 10548 11427 14184 15236 15366 20488 21096 22854 23049 30472 30732 34281 45708 46098 57721 61464 68562 91416 92196 115442 137124 173163 184392 230884 274248 346326 461768 519489 692652 750373 1038978 1385304 1500746 2077956 2251119 3001492 4155912 4502238 6002984 6753357 9004476 13506714 18008952 27013428 54026856