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56545776 = 2434723271
BaseRepresentation
bin1101011110110…
…1000111110000
310221101211020000
43113231013300
5103433431101
65335550000
71254426330
oct327550760
9127354200
1056545776
1129a11751
1216b2b300
13b93a951
14771d0c0
154e6e486
hex35ed1f0

56545776 has 200 divisors, whose sum is σ = 195892224. Its totient is φ = 15396480.

The previous prime is 56545771. The next prime is 56545793. The reversal of 56545776 is 67754565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56545771) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 208521 + ... + 208791.

Almost surely, 256545776 is an apocalyptic number.

56545776 is a gapful number since it is divisible by the number (56) 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 56545776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97946112).

56545776 is an abundant number, since it is smaller than the sum of its proper divisors (139346448).

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

56545776 is a wasteful number, since it uses less digits than its factorization.

56545776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 306 counting only the distinct ones).

The product of its digits is 882000, while the sum is 45.

The square root of 56545776 is about 7519.6925469064. The cubic root of 56545776 is about 383.8251156774.

The spelling of 56545776 in words is "fifty-six million, five hundred forty-five thousand, seven hundred seventy-six".