Search a number
-
+
56598696 = 23337114183
BaseRepresentation
bin1101011111101…
…0000010101000
310221111111211000
43113322002220
5103442124241
65341035000
71255036530
oct327720250
9127444730
1056598696
1129a48490
1216b55a60
13b958a6b
1477344c0
154e7eeb6
hex35fa0a8

56598696 has 256 divisors, whose sum is σ = 203212800. Its totient is φ = 14169600.

The previous prime is 56598677. The next prime is 56598697. The reversal of 56598696 is 69689565.

56598696 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 (54).

It is not an unprimeable number, because it can be changed into a prime (56598697) 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 63 ways as a sum of consecutive naturals, for example, 681871 + ... + 681953.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 256598696 is an apocalyptic number.

56598696 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 56598696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606400).

56598696 is an abundant number, since it is smaller than the sum of its proper divisors (146614104).

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

56598696 is a wasteful number, since it uses less digits than its factorization.

56598696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The square root of 56598696 is about 7523.2104848927. The cubic root of 56598696 is about 383.9448162888.

The spelling of 56598696 in words is "fifty-six million, five hundred ninety-eight thousand, six hundred ninety-six".