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53488256 = 271747523
BaseRepresentation
bin1100110000001…
…0101010000000
310201122111002112
43030002222000
5102143111011
65150234452
71216433303
oct314025200
9121574075
1053488256
1128213578
1215ab5a28
13b10a073
147164b3a
154a6858b
hex3302a80

53488256 has 64 divisors (see below), whose sum is σ = 115447680. Its totient is φ = 24588288.

The previous prime is 53488247. The next prime is 53488291. The reversal of 53488256 is 65288435.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102011 + ... + 102533.

It is an arithmetic number, because the mean of its divisors is an integer number (1803870).

Almost surely, 253488256 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 53488256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57723840).

53488256 is an abundant number, since it is smaller than the sum of its proper divisors (61959424).

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

53488256 is a wasteful number, since it uses less digits than its factorization.

53488256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 589 counting only the distinct ones).

The product of its digits is 230400, while the sum is 41.

The square root of 53488256 is about 7313.5665717897. The cubic root of 53488256 is about 376.7785287447.

The spelling of 53488256 in words is "fifty-three million, four hundred eighty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 47 64 68 94 128 136 188 272 376 523 544 752 799 1046 1088 1504 1598 2092 2176 3008 3196 4184 6016 6392 8368 8891 12784 16736 17782 24581 25568 33472 35564 49162 51136 66944 71128 98324 102272 142256 196648 284512 393296 417877 569024 786592 835754 1138048 1573184 1671508 3146368 3343016 6686032 13372064 26744128 53488256