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55594656 = 25321331479
BaseRepresentation
bin1101010000010…
…0111010100000
310212121111112100
43110010322200
5103213012111
65303330400
71243355355
oct324047240
9125544470
1055594656
11294220a7
1216750a00
13b696a60
14755262c
154d32756
hex3504ea0

55594656 has 144 divisors (see below), whose sum is σ = 176117760. Its totient is φ = 16519680.

The previous prime is 55594639. The next prime is 55594663. The reversal of 55594656 is 65649555.

55594656 is a `hidden beast` number, since 5 + 5 + 594 + 6 + 56 = 666.

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

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, 115825 + ... + 116303.

It is an arithmetic number, because the mean of its divisors is an integer number (1223040).

Almost surely, 255594656 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 55594656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

55594656 is an abundant number, since it is smaller than the sum of its proper divisors (120523104).

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

55594656 is a wasteful number, since it uses less digits than its factorization.

55594656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 528 counting only the distinct ones).

The product of its digits is 810000, while the sum is 45.

The square root of 55594656 is about 7456.1824012024. The cubic root of 55594656 is about 381.6609108629.

The spelling of 55594656 in words is "fifty-five million, five hundred ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 72 78 93 96 104 117 124 144 156 186 208 234 248 279 288 312 372 403 416 468 479 496 558 624 744 806 936 958 992 1116 1209 1248 1437 1488 1612 1872 1916 2232 2418 2874 2976 3224 3627 3744 3832 4311 4464 4836 5748 6227 6448 7254 7664 8622 8928 9672 11496 12454 12896 14508 14849 15328 17244 18681 19344 22992 24908 29016 29698 34488 37362 38688 44547 45984 49816 56043 58032 59396 68976 74724 89094 99632 112086 116064 118792 133641 137952 149448 178188 193037 199264 224172 237584 267282 298896 356376 386074 448344 475168 534564 579111 597792 712752 772148 896688 1069128 1158222 1425504 1544296 1737333 1793376 2138256 2316444 3088592 3474666 4276512 4632888 6177184 6949332 9265776 13898664 18531552 27797328 55594656