Search a number
-
+
56604400 = 2452141511
BaseRepresentation
bin1101011111101…
…1011011110000
310221111210122021
43113323123300
5103442320100
65341121224
71255062256
oct327733360
9127453567
1056604400
1129a517a6
1216b59214
13b95b538
1477365d6
154e81a1a
hex35fb6f0

56604400 has 30 divisors (see below), whose sum is σ = 135993032. Its totient is φ = 22641600.

The previous prime is 56604397. The next prime is 56604409. The reversal of 56604400 is 440665.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56604409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70356 + ... + 71155.

Almost surely, 256604400 is an apocalyptic number.

56604400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56604400 is an abundant number, since it is smaller than the sum of its proper divisors (79388632).

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

56604400 is a wasteful number, since it uses less digits than its factorization.

56604400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141529 (or 141518 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 56604400 is about 7523.5895688162. The cubic root of 56604400 is about 383.9577138043.

The spelling of 56604400 in words is "fifty-six million, six hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 141511 283022 566044 707555 1132088 1415110 2264176 2830220 3537775 5660440 7075550 11320880 14151100 28302200 56604400