Search a number
-
+
56454300 = 223352729103
BaseRepresentation
bin1101011101011…
…0110010011100
310221020011202000
43113112302130
5103423014200
65334002300
71253565540
oct327266234
9127204660
1056454300
1129959a51
1216aa6390
13b908116
1476d7a20
154e52300
hex35d6c9c

56454300 has 288 divisors, whose sum is σ = 216652800. Its totient is φ = 12337920.

The previous prime is 56454289. The next prime is 56454323. The reversal of 56454300 is 345465.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 548049 + ... + 548151.

Almost surely, 256454300 is an apocalyptic number.

56454300 is a gapful number since it is divisible by the number (50) 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 56454300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108326400).

56454300 is an abundant number, since it is smaller than the sum of its proper divisors (160198500).

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

56454300 is a wasteful number, since it uses less digits than its factorization.

56454300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 56454300 is about 7513.6076554475. The cubic root of 56454300 is about 383.6180283751.

Adding to 56454300 its reverse (345465), we get a palindrome (56799765).

The spelling of 56454300 in words is "fifty-six million, four hundred fifty-four thousand, three hundred".