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56853225 = 335211131931
BaseRepresentation
bin1101100011100…
…0001011101001
310221222102222000
43120320023221
5104023300400
65350321213
71260146562
oct330701351
9127872860
1056853225
112a101740
1217059209
13ba17880
14779d169
154ed0600
hex36382e9

56853225 has 192 divisors, whose sum is σ = 133324800. Its totient is φ = 23328000.

The previous prime is 56853211. The next prime is 56853229. The reversal of 56853225 is 52235865.

56853225 = 1402 + 1412 + ... + 5572.

It is a happy number.

56853225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56853225 - 28 = 56852969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 56853225.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56853229) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1833960 + ... + 1833990.

It is an arithmetic number, because the mean of its divisors is an integer number (694400).

Almost surely, 256853225 is an apocalyptic number.

56853225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56853225 is an abundant number, since it is smaller than the sum of its proper divisors (76471575).

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

56853225 is a wasteful number, since it uses less digits than its factorization.

56853225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 82 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 56853225 is about 7540.1077578507. The cubic root of 56853225 is about 384.5194995080.

The spelling of 56853225 in words is "fifty-six million, eight hundred fifty-three thousand, two hundred twenty-five".