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56056700 = 22527731097
BaseRepresentation
bin1101010111010…
…1101101111100
310220110222100002
43111311231330
5103322303300
65321253432
71250321420
oct325655574
9126428302
1056056700
1129708257
1216934278
13b7c915b
147632b80
154dc45d5
hex3575b7c

56056700 has 72 divisors (see below), whose sum is σ = 141053472. Its totient is φ = 18938880.

The previous prime is 56056697. The next prime is 56056751. The reversal of 56056700 is 765065.

It is a super-2 number, since 2×560567002 = 6284707229780000, 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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50552 + ... + 51648.

It is an arithmetic number, because the mean of its divisors is an integer number (1959076).

Almost surely, 256056700 is an apocalyptic number.

56056700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56056700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70526736).

56056700 is an abundant number, since it is smaller than the sum of its proper divisors (84996772).

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

56056700 is a wasteful number, since it uses less digits than its factorization.

56056700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 56056700 is about 7487.1022431913. The cubic root of 56056700 is about 382.7153158548.

The spelling of 56056700 in words is "fifty-six million, fifty-six thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 73 100 140 146 175 292 350 365 511 700 730 1022 1097 1460 1825 2044 2194 2555 3650 4388 5110 5485 7300 7679 10220 10970 12775 15358 21940 25550 27425 30716 38395 51100 54850 76790 80081 109700 153580 160162 191975 320324 383950 400405 560567 767900 800810 1121134 1601620 2002025 2242268 2802835 4004050 5605670 8008100 11211340 14014175 28028350 56056700