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55783168 = 28724447
BaseRepresentation
bin1101010011001…
…0111100000000
310212222002010021
43110302330000
5103240030133
65311343224
71245102100
oct324627400
9125862107
1055783168
11295407a1
1216821b14
13b7317bc
1475a1200
154d6d52d
hex3532f00

55783168 has 54 divisors (see below), whose sum is σ = 129556896. Its totient is φ = 23901696.

The previous prime is 55783159. The next prime is 55783213. The reversal of 55783168 is 86138755.

It is a super-2 number, since 2×557831682 = 6223523664232448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10321 + ... + 14767.

Almost surely, 255783168 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 55783168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64778448).

55783168 is an abundant number, since it is smaller than the sum of its proper divisors (73773728).

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

55783168 is an equidigital number, since it uses as much as digits as its factorization.

55783168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4477 (or 4456 counting only the distinct ones).

The product of its digits is 201600, while the sum is 43.

The square root of 55783168 is about 7468.8130248387. The cubic root of 55783168 is about 382.0918065574.

The spelling of 55783168 in words is "fifty-five million, seven hundred eighty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 4447 6272 8894 12544 17788 31129 35576 62258 71152 124516 142304 217903 249032 284608 435806 498064 569216 871612 996128 1138432 1743224 1992256 3486448 3984512 6972896 7969024 13945792 27891584 55783168