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55954368 = 263332381
BaseRepresentation
bin1101010101110…
…0101111000000
310220021202222000
43111130233000
5103311014433
65315144000
71246414161
oct325345700
9126252860
1055954368
1129648388
12168a5000
13b7916c2
147607768
154da4113
hex355cbc0

55954368 has 56 divisors (see below), whose sum is σ = 164500560. Its totient is φ = 18650880.

The previous prime is 55954363. The next prime is 55954391. The reversal of 55954368 is 86345955.

55954368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55954363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14463 + ... + 17918.

It is an arithmetic number, because the mean of its divisors is an integer number (2937510).

Almost surely, 255954368 is an apocalyptic number.

It is an amenable number.

55954368 is an abundant number, since it is smaller than the sum of its proper divisors (108546192).

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

55954368 is a wasteful number, since it uses less digits than its factorization.

55954368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32402 (or 32386 counting only the distinct ones).

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

The square root of 55954368 is about 7480.2652359392. The cubic root of 55954368 is about 382.4822906065.

The spelling of 55954368 in words is "fifty-five million, nine hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 32381 64762 97143 129524 194286 259048 291429 388572 518096 582858 777144 874287 1036192 1165716 1554288 1748574 2072384 2331432 3108576 3497148 4662864 6217152 6994296 9325728 13988592 18651456 27977184 55954368