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56500080 = 24357132199
BaseRepresentation
bin1101011110000…
…1111101110000
310221022111112120
43113201331300
5103431000310
65334554240
71254146160
oct327417560
9127274476
1056500080
112999038a
1216b08980
13b922c00
14770a5a0
154e60b70
hex35e1f70

56500080 has 240 divisors, whose sum is σ = 217843200. Its totient is φ = 11860992.

The previous prime is 56500079. The next prime is 56500099. The reversal of 56500080 is 8000565.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 56500080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283821 + ... + 284019.

It is an arithmetic number, because the mean of its divisors is an integer number (907680).

Almost surely, 256500080 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 56500080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108921600).

56500080 is an abundant number, since it is smaller than the sum of its proper divisors (161343120).

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

56500080 is a wasteful number, since it uses less digits than its factorization.

56500080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 56500080 is about 7516.6535107054. The cubic root of 56500080 is about 383.7216950479.

The spelling of 56500080 in words is "fifty-six million, five hundred thousand, eighty".