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53264880 = 24325292551
BaseRepresentation
bin1100101100110…
…0000111110000
310201020010200100
43023030013300
5102113434010
65141352400
71214513124
oct313140760
9121203610
1053264880
1128080769
1215a08700
13b05c4a6
147107584
154a222c0
hex32cc1f0

53264880 has 120 divisors (see below), whose sum is σ = 185122080. Its totient is φ = 13708800.

The previous prime is 53264873. The next prime is 53264891. The reversal of 53264880 is 8846235.

53264880 is a `hidden beast` number, since 5 + 3 + 2 + 648 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 19605 + ... + 22155.

It is an arithmetic number, because the mean of its divisors is an integer number (1542684).

Almost surely, 253264880 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 53264880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92561040).

53264880 is an abundant number, since it is smaller than the sum of its proper divisors (131857200).

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

53264880 is a wasteful number, since it uses less digits than its factorization.

53264880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 53264880 is about 7298.2792492477. The cubic root of 53264880 is about 376.2532999714.

The spelling of 53264880 in words is "fifty-three million, two hundred sixty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1044 1160 1305 1392 1740 2088 2320 2551 2610 3480 4176 5102 5220 6960 7653 10204 10440 12755 15306 20408 20880 22959 25510 30612 38265 40816 45918 51020 61224 73979 76530 91836 102040 114795 122448 147958 153060 183672 204080 221937 229590 295916 306120 367344 369895 443874 459180 591832 612240 665811 739790 887748 918360 1109685 1183664 1331622 1479580 1775496 1836720 2219370 2663244 2959160 3329055 3550992 4438740 5326488 5918320 6658110 8877480 10652976 13316220 17754960 26632440 53264880