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55917792 = 2532727737
BaseRepresentation
bin1101010101001…
…1110011100000
310220012220210100
43111103303200
5103303332132
65314302400
71246202430
oct325236340
9126186710
1055917792
1129622957
1216887a00
13b77ab68
1475d82c0
154d9837c
hex3553ce0

55917792 has 72 divisors (see below), whose sum is σ = 181739376. Its totient is φ = 15975936.

The previous prime is 55917791. The next prime is 55917833. The reversal of 55917792 is 29771955.

55917792 is a `hidden beast` number, since 559 + 1 + 7 + 7 + 92 = 666.

55917792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55917791) 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 11 ways as a sum of consecutive naturals, for example, 11853 + ... + 15884.

It is an arithmetic number, because the mean of its divisors is an integer number (2524158).

Almost surely, 255917792 is an apocalyptic number.

It is an amenable number.

55917792 is an abundant number, since it is smaller than the sum of its proper divisors (125821584).

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

55917792 is a wasteful number, since it uses less digits than its factorization.

55917792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27760 (or 27749 counting only the distinct ones).

The product of its digits is 198450, while the sum is 45.

The square root of 55917792 is about 7477.8200031827. The cubic root of 55917792 is about 382.3989326721.

The spelling of 55917792 in words is "fifty-five million, nine hundred seventeen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 27737 55474 83211 110948 166422 194159 221896 249633 332844 388318 443792 499266 582477 665688 776636 887584 998532 1164954 1331376 1553272 1747431 1997064 2329908 2662752 3106544 3494862 3994128 4659816 6213088 6989724 7988256 9319632 13979448 18639264 27958896 55917792