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53560416 = 2537136131
BaseRepresentation
bin1100110001010…
…0010001100000
310201210011002010
43030110101200
5102202413131
65151552520
71220153550
oct314242140
9121704063
1053560416
1128262808
1215b2b740
13b133b70
147183160
154a7eb46
hex3314460

53560416 has 96 divisors (see below), whose sum is σ = 173069568. Its totient is φ = 14123520.

The previous prime is 53560357. The next prime is 53560433. The reversal of 53560416 is 61406535.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5671 + ... + 11801.

It is an arithmetic number, because the mean of its divisors is an integer number (1802808).

Almost surely, 253560416 is an apocalyptic number.

53560416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53560416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86534784).

53560416 is an abundant number, since it is smaller than the sum of its proper divisors (119509152).

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

53560416 is a wasteful number, since it uses less digits than its factorization.

53560416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6164 (or 6156 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 53560416 is about 7318.4982065995. The cubic root of 53560416 is about 376.9478875498.

The spelling of 53560416 in words is "fifty-three million, five hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 6131 8736 12262 18393 24524 36786 42917 49048 73572 79703 85834 98096 128751 147144 159406 171668 196192 239109 257502 294288 318812 343336 478218 515004 557921 588576 637624 686672 956436 1030008 1115842 1275248 1373344 1673763 1912872 2060016 2231684 2550496 3347526 3825744 4120032 4463368 6695052 7651488 8926736 13390104 17853472 26780208 53560416