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55918560 = 2535971201
BaseRepresentation
bin1101010101001…
…1111111100000
310220012221211210
43111103333200
5103303343220
65314310120
71246204605
oct325237740
9126187753
1055918560
1129623495
1216888340
13b77b309
1475d86ac
154d986e0
hex3553fe0

55918560 has 96 divisors (see below), whose sum is σ = 178107552. Its totient is φ = 14745600.

The previous prime is 55918523. The next prime is 55918567. The reversal of 55918560 is 6581955.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55918567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45960 + ... + 47160.

It is an arithmetic number, because the mean of its divisors is an integer number (1855287).

Almost surely, 255918560 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 55918560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89053776).

55918560 is an abundant number, since it is smaller than the sum of its proper divisors (122188992).

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

55918560 is a wasteful number, since it uses less digits than its factorization.

55918560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 39.

The square root of 55918560 is about 7477.8713548710. The cubic root of 55918560 is about 382.4006833435.

The spelling of 55918560 in words is "fifty-five million, nine hundred eighteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 97 120 160 194 240 291 388 480 485 582 776 970 1164 1201 1455 1552 1940 2328 2402 2910 3104 3603 3880 4656 4804 5820 6005 7206 7760 9312 9608 11640 12010 14412 15520 18015 19216 23280 24020 28824 36030 38432 46560 48040 57648 72060 96080 115296 116497 144120 192160 232994 288240 349491 465988 576480 582485 698982 931976 1164970 1397964 1747455 1863952 2329940 2795928 3494910 3727904 4659880 5591856 6989820 9319760 11183712 13979640 18639520 27959280 55918560