Search a number
-
+
56359296 = 2732729241
BaseRepresentation
bin1101011011111…
…1100110000000
310221001100102100
43112333212000
5103411444141
65331550400
71253021550
oct326774600
9127040370
1056359296
11298a4634
1216a5b400
13b8a3ac6
1476b1160
154e340b6
hex35bf980

56359296 has 192 divisors, whose sum is σ = 192535200. Its totient is φ = 15482880.

The previous prime is 56359291. The next prime is 56359309. The reversal of 56359296 is 69295365.

56359296 is a `hidden beast` number, since 5 + 6 + 359 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56359291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233736 + ... + 233976.

Almost surely, 256359296 is an apocalyptic number.

56359296 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 56359296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96267600).

56359296 is an abundant number, since it is smaller than the sum of its proper divisors (136175904).

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

56359296 is a wasteful number, since it uses less digits than its factorization.

56359296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 282 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The square root of 56359296 is about 7507.2828639928. The cubic root of 56359296 is about 383.4027172873.

The spelling of 56359296 in words is "fifty-six million, three hundred fifty-nine thousand, two hundred ninety-six".