Search a number
-
+
56565378 = 234379437
BaseRepresentation
bin1101011111000…
…1111010000010
310221102211010000
43113301322002
5103440043003
65340220430
71254540432
oct327617202
9127384100
1056565378
1129a25451
1216b3a716
13b94684c
1477262c2
154e751a3
hex35f1e82

56565378 has 40 divisors (see below), whose sum is σ = 130187772. Its totient is φ = 18343584.

The previous prime is 56565347. The next prime is 56565389. The reversal of 56565378 is 87356565.

56565378 is a `hidden beast` number, since 56 + 565 + 37 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52751169 + 3814209 = 7263^2 + 1953^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1276 + ... + 10712.

Almost surely, 256565378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56565378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65093886).

56565378 is an abundant number, since it is smaller than the sum of its proper divisors (73622394).

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

56565378 is a wasteful number, since it uses less digits than its factorization.

56565378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9488 (or 9479 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 56565378 is about 7520.9958117260. The cubic root of 56565378 is about 383.8694624658.

The spelling of 56565378 in words is "fifty-six million, five hundred sixty-five thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 666 999 1998 2997 5994 9437 18874 28311 56622 84933 169866 254799 349169 509598 698338 764397 1047507 1528794 2095014 3142521 6285042 9427563 18855126 28282689 56565378