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56065464 = 233271343199
BaseRepresentation
bin1101010111011…
…1110110111000
310220111102100200
43111313312320
5103323043324
65321402200
71250356110
oct325676670
9126442320
1056065464
11297138a4
1216939360
13b800140
147636040
154dc6ec9
hex3577db8

56065464 has 192 divisors, whose sum is σ = 192192000. Its totient is φ = 14370048.

The previous prime is 56065441. The next prime is 56065481. The reversal of 56065464 is 46456065.

It is a happy number.

56065464 is a `hidden beast` number, since 5 + 606 + 5 + 46 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281637 + ... + 281835.

It is an arithmetic number, because the mean of its divisors is an integer number (1001000).

Almost surely, 256065464 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 56065464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96096000).

56065464 is an abundant number, since it is smaller than the sum of its proper divisors (136126536).

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

56065464 is a wasteful number, since it uses less digits than its factorization.

56065464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 56065464 is about 7487.6874934789. The cubic root of 56065464 is about 382.7352596037.

The spelling of 56065464 in words is "fifty-six million, sixty-five thousand, four hundred sixty-four".