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53452960 = 255113251
BaseRepresentation
bin1100101111101…
…0000010100000
310201120200200021
43023322002200
5102140443320
65145403224
71216225351
oct313720240
9121520607
1053452960
112819a000
1215a99514
13b0c6c92
147155d28
154a5cdaa
hex32fa0a0

53452960 has 96 divisors (see below), whose sum is σ = 139454784. Its totient is φ = 19360000.

The previous prime is 53452957. The next prime is 53452979. The reversal of 53452960 is 6925435.

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 15 ways as a sum of consecutive naturals, for example, 212835 + ... + 213085.

It is an arithmetic number, because the mean of its divisors is an integer number (1452654).

Almost surely, 253452960 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 53452960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69727392).

53452960 is an abundant number, since it is smaller than the sum of its proper divisors (86001824).

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

53452960 is a wasteful number, since it uses less digits than its factorization.

53452960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 53452960 is about 7311.1531238239. The cubic root of 53452960 is about 376.6956339049.

The spelling of 53452960 in words is "fifty-three million, four hundred fifty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 251 352 440 484 502 605 880 968 1004 1210 1255 1331 1760 1936 2008 2420 2510 2662 2761 3872 4016 4840 5020 5324 5522 6655 8032 9680 10040 10648 11044 13310 13805 19360 20080 21296 22088 26620 27610 30371 40160 42592 44176 53240 55220 60742 88352 106480 110440 121484 151855 212960 220880 242968 303710 334081 441760 485936 607420 668162 971872 1214840 1336324 1670405 2429680 2672648 3340810 4859360 5345296 6681620 10690592 13363240 26726480 53452960