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56727808 = 283753113
BaseRepresentation
bin1101100001100…
…1100100000000
310221202001220221
43120121210000
5104010242213
65343512424
71256115124
oct330314400
9127661827
1056727808
112a026495
1216bb8714
13b9a2767
147769584
154ea838d
hex3619900

56727808 has 72 divisors (see below), whose sum is σ = 119537208. Its totient is φ = 26836992.

The previous prime is 56727791. The next prime is 56727809. The reversal of 56727808 is 80872765.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8952064 + 47775744 = 2992^2 + 6912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56727809) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501960 + ... + 502072.

It is an arithmetic number, because the mean of its divisors is an integer number (1660239).

Almost surely, 256727808 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 56727808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59768604).

56727808 is an abundant number, since it is smaller than the sum of its proper divisors (62809400).

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

56727808 is a wasteful number, since it uses less digits than its factorization.

56727808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 43.

The square root of 56727808 is about 7531.7865078612. The cubic root of 56727808 is about 384.2365440737.

The spelling of 56727808 in words is "fifty-six million, seven hundred twenty-seven thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 37 53 64 74 106 113 128 148 212 226 256 296 424 452 592 848 904 1184 1696 1808 1961 2368 3392 3616 3922 4181 4736 5989 6784 7232 7844 8362 9472 11978 13568 14464 15688 16724 23956 28928 31376 33448 47912 62752 66896 95824 125504 133792 191648 221593 251008 267584 383296 443186 502016 535168 766592 886372 1070336 1533184 1772744 3545488 7090976 14181952 28363904 56727808