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56849520 = 243571319137
BaseRepresentation
bin1101100011011…
…1010001110000
310221222020212210
43120313101300
5104023141040
65350252120
71260133020
oct330672160
9127866783
1056849520
112a0a9982
1217057040
13ba15c90
14779ba80
154ece480
hex3637470

56849520 has 320 divisors, whose sum is σ = 229985280. Its totient is φ = 11280384.

The previous prime is 56849489. The next prime is 56849521. The reversal of 56849520 is 2594865.

56849520 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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56849521) 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 63 ways as a sum of consecutive naturals, for example, 414892 + ... + 415028.

It is an arithmetic number, because the mean of its divisors is an integer number (718704).

Almost surely, 256849520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56849520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114992640).

56849520 is an abundant number, since it is smaller than the sum of its proper divisors (173135760).

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

56849520 is a wasteful number, since it uses less digits than its factorization.

56849520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 56849520 is about 7539.8620677039. The cubic root of 56849520 is about 384.5111465623.

The spelling of 56849520 in words is "fifty-six million, eight hundred forty-nine thousand, five hundred twenty".