Search a number
-
+
56598750 = 234541343
BaseRepresentation
bin1101011111101…
…0000011011110
310221111111220000
43113322003132
5103442130000
65341035130
71255036635
oct327720336
9127444800
1056598750
1129a4852a
1216b55aa6
13b958ab0
14773451c
154e80000
hex35fa0de

56598750 has 200 divisors, whose sum is σ = 174637848. Its totient is φ = 13608000.

The previous prime is 56598727. The next prime is 56598757. The reversal of 56598750 is 5789565.

56598750 is a `hidden beast` number, since 5 + 6 + 598 + 7 + 50 = 666.

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 Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 56598696 and 56598705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56598757) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1316229 + ... + 1316271.

It is a vampire number, since it can be written as 58509675 (with its own digits).

Almost surely, 256598750 is an apocalyptic number.

56598750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56598750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87318924).

56598750 is an abundant number, since it is smaller than the sum of its proper divisors (118039098).

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

56598750 is a wasteful number, since it uses less digits than its factorization.

56598750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 56598750 is about 7523.2140737852. The cubic root of 56598750 is about 383.9449383942.

The spelling of 56598750 in words is "fifty-six million, five hundred ninety-eight thousand, seven hundred fifty".