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56778072 = 23313181981
BaseRepresentation
bin1101100010010…
…1110101011000
310221211121212120
43120211311120
5104013344242
65344541240
71256414511
oct330456530
9127747776
1056778072
112a06022a
1217021820
13b9bc5c0
14777da08
154eb81ec
hex3625d58

56778072 has 32 divisors (see below), whose sum is σ = 152864880. Its totient is φ = 17470080.

The previous prime is 56778067. The next prime is 56778101. The reversal of 56778072 is 27087765.

56778072 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 an unprimeable number.

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, 90679 + ... + 91302.

Almost surely, 256778072 is an apocalyptic number.

56778072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

56778072 is an abundant number, since it is smaller than the sum of its proper divisors (96086808).

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

56778072 is a wasteful number, since it uses less digits than its factorization.

56778072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182003 (or 181999 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 56778072 is about 7535.1225603835. The cubic root of 56778072 is about 384.3499955709.

It can be divided in two parts, 56 and 778072, that added together give a triangular number (778128 = T1247).

The spelling of 56778072 in words is "fifty-six million, seven hundred seventy-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 181981 363962 545943 727924 1091886 1455848 2183772 2365753 4367544 4731506 7097259 9463012 14194518 18926024 28389036 56778072