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53525680 = 24513237107
BaseRepresentation
bin1100110000101…
…1110010110000
310201201101102121
43030023302300
5102200310210
65151124024
71216650355
oct314136260
9121641377
1053525680
11282396aa
1215b13614
13b121100
14717462c
154a746da
hex330bcb0

53525680 has 120 divisors (see below), whose sum is σ = 139691952. Its totient is φ = 19049472.

The previous prime is 53525653. The next prime is 53525699. The reversal of 53525680 is 8652535.

It is a happy 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, 500187 + ... + 500293.

Almost surely, 253525680 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 53525680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69845976).

53525680 is an abundant number, since it is smaller than the sum of its proper divisors (86166272).

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

53525680 is a wasteful number, since it uses less digits than its factorization.

53525680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 53525680 is about 7316.1246572212. The cubic root of 53525680 is about 376.8663815023.

The spelling of 53525680 in words is "fifty-three million, five hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 37 40 52 65 74 80 104 107 130 148 169 185 208 214 260 296 338 370 428 481 520 535 592 676 740 845 856 962 1040 1070 1352 1391 1480 1690 1712 1924 2140 2405 2704 2782 2960 3380 3848 3959 4280 4810 5564 6253 6760 6955 7696 7918 8560 9620 11128 12506 13520 13910 15836 18083 19240 19795 22256 25012 27820 31265 31672 36166 38480 39590 50024 51467 55640 62530 63344 72332 79180 90415 100048 102934 111280 125060 144664 158360 180830 205868 250120 257335 289328 316720 361660 411736 500240 514670 669071 723320 823472 1029340 1338142 1446640 2058680 2676284 3345355 4117360 5352568 6690710 10705136 13381420 26762840 53525680