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55963296 = 2532434519
BaseRepresentation
bin1101010101111…
…0111010100000
310220022020012200
43111132322200
5103311311141
65315253200
71246452204
oct325367240
9126266180
1055963296
1129654064
12168aa200
13b79579c
14760ab04
154da6ab6
hex355eea0

55963296 has 72 divisors (see below), whose sum is σ = 162882720. Its totient is φ = 18216576.

The previous prime is 55963241. The next prime is 55963307. The reversal of 55963296 is 69236955.

55963296 is a `hidden beast` number, since 5 + 5 + 9 + 632 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10125 + ... + 14643.

It is an arithmetic number, because the mean of its divisors is an integer number (2262260).

Almost surely, 255963296 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 55963296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81441360).

55963296 is an abundant number, since it is smaller than the sum of its proper divisors (106919424).

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

55963296 is a wasteful number, since it uses less digits than its factorization.

55963296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4578 (or 4567 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The square root of 55963296 is about 7480.8619824189. The cubic root of 55963296 is about 382.5026323028.

The spelling of 55963296 in words is "fifty-five million, nine hundred sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 4519 6192 9038 12384 13557 18076 27114 36152 40671 54228 72304 81342 108456 144608 162684 194317 216912 325368 388634 433824 582951 650736 777268 1165902 1301472 1554536 1748853 2331804 3109072 3497706 4663608 6218144 6995412 9327216 13990824 18654432 27981648 55963296