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56683900 = 22527136229
BaseRepresentation
bin1101100000111…
…0110101111100
310221122211200201
43120032311330
5104002341100
65342533244
71255543120
oct330166574
9127584621
1056683900
1129aa64a9
1216b97224
13b988790
147757580
154e9a36a
hex360ed7c

56683900 has 72 divisors (see below), whose sum is σ = 151413920. Its totient is φ = 17936640.

The previous prime is 56683883. The next prime is 56683909. The reversal of 56683900 is 938665.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 56683900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56683909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5986 + ... + 12214.

Almost surely, 256683900 is an apocalyptic number.

56683900 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 56683900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75706960).

56683900 is an abundant number, since it is smaller than the sum of its proper divisors (94730020).

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

56683900 is a wasteful number, since it uses less digits than its factorization.

56683900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6263 (or 6256 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 56683900 is about 7528.8710973160. The cubic root of 56683900 is about 384.1373839296.

The spelling of 56683900 in words is "fifty-six million, six hundred eighty-three thousand, nine hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 6229 9100 12458 24916 31145 43603 62290 80977 87206 124580 155725 161954 174412 218015 311450 323908 404885 436030 566839 622900 809770 872060 1090075 1133678 1619540 2024425 2180150 2267356 2834195 4048850 4360300 5668390 8097700 11336780 14170975 28341950 56683900