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53265888 = 25321341347
BaseRepresentation
bin1100101100110…
…0010111100000
310201020012001200
43023030113200
5102114002023
65141401200
71214516064
oct313142740
9121205050
1053265888
11280814a5
1215a09200
13b05caa0
147107aa4
154a22743
hex32cc5e0

53265888 has 144 divisors (see below), whose sum is σ = 167587056. Its totient is φ = 15943680.

The previous prime is 53265881. The next prime is 53265917. The reversal of 53265888 is 88856235.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53265881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153331 + ... + 153677.

It is an arithmetic number, because the mean of its divisors is an integer number (1163799).

Almost surely, 253265888 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 53265888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83793528).

53265888 is an abundant number, since it is smaller than the sum of its proper divisors (114321168).

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

53265888 is a wasteful number, since it uses less digits than its factorization.

53265888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 406 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 53265888 is about 7298.3483062951. The cubic root of 53265888 is about 376.2556733986.

The spelling of 53265888 in words is "fifty-three million, two hundred sixty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 41 48 52 72 78 82 96 104 117 123 144 156 164 208 234 246 288 312 328 347 369 416 468 492 533 624 656 694 738 936 984 1041 1066 1248 1312 1388 1476 1599 1872 1968 2082 2132 2776 2952 3123 3198 3744 3936 4164 4264 4511 4797 5552 5904 6246 6396 8328 8528 9022 9594 11104 11808 12492 12792 13533 14227 16656 17056 18044 19188 24984 25584 27066 28454 33312 36088 38376 40599 42681 49968 51168 54132 56908 72176 76752 81198 85362 99936 108264 113816 128043 144352 153504 162396 170724 184951 216528 227632 256086 324792 341448 369902 433056 455264 512172 554853 649584 682896 739804 1024344 1109706 1299168 1365792 1479608 1664559 2048688 2219412 2959216 3329118 4097376 4438824 5918432 6658236 8877648 13316472 17755296 26632944 53265888