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56365500 = 2235353709
BaseRepresentation
bin1101011100000…
…1000110111100
310221001122221010
43113001012330
5103412144000
65332035220
71253045622
oct327010674
9127048833
1056365500
11298a9264
1216a62b10
13b8a6889
1476b3512
154e35d50
hex35c11bc

56365500 has 96 divisors (see below), whose sum is σ = 167469120. Its totient is φ = 14726400.

The previous prime is 56365493. The next prime is 56365577. The reversal of 56365500 is 556365.

56365500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 79146 + ... + 79854.

It is an arithmetic number, because the mean of its divisors is an integer number (1744470).

Almost surely, 256365500 is an apocalyptic number.

56365500 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 56365500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83734560).

56365500 is an abundant number, since it is smaller than the sum of its proper divisors (111103620).

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

56365500 is a wasteful number, since it uses less digits than its factorization.

56365500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 56365500 is about 7507.6960513862. The cubic root of 56365500 is about 383.4167850239.

It can be divided in two parts, 56365 and 500, that added together give a palindrome (56865).

The spelling of 56365500 in words is "fifty-six million, three hundred sixty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 125 150 159 212 250 265 300 318 375 500 530 636 709 750 795 1060 1325 1418 1500 1590 2127 2650 2836 3180 3545 3975 4254 5300 6625 7090 7950 8508 10635 13250 14180 15900 17725 19875 21270 26500 35450 37577 39750 42540 53175 70900 75154 79500 88625 106350 112731 150308 177250 187885 212700 225462 265875 354500 375770 450924 531750 563655 751540 939425 1063500 1127310 1878850 2254620 2818275 3757700 4697125 5636550 9394250 11273100 14091375 18788500 28182750 56365500