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55493856 = 2533115839
BaseRepresentation
bin1101001110110…
…0010011100000
310212102101021000
43103230103200
5103201300411
65301232000
71242455445
oct323542340
9125371230
1055493856
11293633a0
1216702600
13b65cc02
1475279cc
154d12956
hex34ec4e0

55493856 has 96 divisors (see below), whose sum is σ = 176601600. Its totient is φ = 16813440.

The previous prime is 55493833. The next prime is 55493857. The reversal of 55493856 is 65839455.

55493856 is a `hidden beast` number, since 554 + 93 + 8 + 5 + 6 = 666.

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 (55493857) 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, 6585 + ... + 12423.

It is an arithmetic number, because the mean of its divisors is an integer number (1839600).

Almost surely, 255493856 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 55493856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88300800).

55493856 is an abundant number, since it is smaller than the sum of its proper divisors (121107744).

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

55493856 is a wasteful number, since it uses less digits than its factorization.

55493856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5869 (or 5855 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 55493856 is about 7449.4198431824. The cubic root of 55493856 is about 381.4301051393.

The spelling of 55493856 in words is "fifty-five million, four hundred ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 5839 9504 11678 17517 23356 35034 46712 52551 64229 70068 93424 105102 128458 140136 157653 186848 192687 210204 256916 280272 315306 385374 420408 513832 560544 578061 630612 770748 840816 1027664 1156122 1261224 1541496 1681632 1734183 2055328 2312244 2522448 3082992 3468366 4624488 5044896 6165984 6936732 9248976 13873464 18497952 27746928 55493856