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56271768 = 23371721961
BaseRepresentation
bin1101011010101…
…0001110011000
310220212220100120
43112222032120
5103401144033
65330033240
71252205430
oct326521630
9126786316
1056271768
11298448a3
1216a18820
13b873007
14768b2c0
154e181b3
hex35aa398

56271768 has 192 divisors, whose sum is σ = 182726400. Its totient is φ = 14100480.

The previous prime is 56271767. The next prime is 56271773. The reversal of 56271768 is 86717265.

56271768 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56271767) 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 47 ways as a sum of consecutive naturals, for example, 922458 + ... + 922518.

It is an arithmetic number, because the mean of its divisors is an integer number (951700).

Almost surely, 256271768 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 56271768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91363200).

56271768 is an abundant number, since it is smaller than the sum of its proper divisors (126454632).

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

56271768 is a wasteful number, since it uses less digits than its factorization.

56271768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 109 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 56271768 is about 7501.4510596284. The cubic root of 56271768 is about 383.2041350780.

The spelling of 56271768 in words is "fifty-six million, two hundred seventy-one thousand, seven hundred sixty-eight".