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56831280 = 243511219103
BaseRepresentation
bin1101100011001…
…0110100110000
310221221022212020
43120302310300
5104022100110
65350031440
71260025602
oct330626460
9127838766
1056831280
112a097200
1217048580
13ba0a89c
147795172
154ec8d70
hex3632d30

56831280 has 240 divisors, whose sum is σ = 205820160. Its totient is φ = 12925440.

The previous prime is 56831279. The next prime is 56831287. The reversal of 56831280 is 8213865.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (56831287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 551709 + ... + 551811.

It is an arithmetic number, because the mean of its divisors is an integer number (857584).

Almost surely, 256831280 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 56831280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102910080).

56831280 is an abundant number, since it is smaller than the sum of its proper divisors (148988880).

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

56831280 is a wasteful number, since it uses less digits than its factorization.

56831280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 56831280 is about 7538.6523994677. The cubic root of 56831280 is about 384.4700190762.

The spelling of 56831280 in words is "fifty-six million, eight hundred thirty-one thousand, two hundred eighty".