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56807300 = 225211431201
BaseRepresentation
bin1101100010110…
…0111110000100
310221220002222002
43120230332010
5104020313200
65345324432
71256565644
oct330547604
9127802862
1056807300
112a080190
1217036718
13b9cc9b4
14778a524
154ec1bd5
hex362cf84

56807300 has 72 divisors (see below), whose sum is σ = 137720352. Its totient is φ = 20160000.

The previous prime is 56807299. The next prime is 56807327. The reversal of 56807300 is 370865.

56807300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 46700 + ... + 47900.

Almost surely, 256807300 is an apocalyptic number.

56807300 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 56807300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68860176).

56807300 is an abundant number, since it is smaller than the sum of its proper divisors (80913052).

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

56807300 is a wasteful number, since it uses less digits than its factorization.

56807300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 56807300 is about 7537.0617617212. The cubic root of 56807300 is about 384.4159356671.

The spelling of 56807300 in words is "fifty-six million, eight hundred seven thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 172 215 220 275 430 473 550 860 946 1075 1100 1201 1892 2150 2365 2402 4300 4730 4804 6005 9460 11825 12010 13211 23650 24020 26422 30025 47300 51643 52844 60050 66055 103286 120100 132110 206572 258215 264220 330275 516430 568073 660550 1032860 1136146 1291075 1321100 2272292 2582150 2840365 5164300 5680730 11361460 14201825 28403650 56807300