Search a number
-
+
56358760 = 23511872
BaseRepresentation
bin1101011011111…
…1011101101000
310221001022200111
43112333131220
5103411440020
65331544104
71253020153
oct326773550
9127038614
1056358760
11298a4197
1216a5b034
13b8a37a3
1476b0c9a
154e33d5a
hex35bf768

56358760 has 24 divisors (see below), whose sum is σ = 126914130. Its totient is φ = 22524512.

The previous prime is 56358737. The next prime is 56358773. The reversal of 56358760 is 6785365.

It can be written as a sum of positive squares in only one way, i.e., 50722884 + 5635876 = 7122^2 + 2374^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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, 46887 + ... + 48073.

Almost surely, 256358760 is an apocalyptic number.

It is an amenable number.

56358760 is an abundant number, since it is smaller than the sum of its proper divisors (70555370).

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

56358760 is an equidigital number, since it uses as much as digits as its factorization.

56358760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 56358760 is about 7507.2471652397. The cubic root of 56358760 is about 383.4015018445.

Multiplying 56358760 by its sum of digits (40), we get a square (2254350400 = 474802).

56358760 divided by its sum of digits (40) gives a square (1408969 = 11872).

The spelling of 56358760 in words is "fifty-six million, three hundred fifty-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 1187 2374 4748 5935 9496 11870 23740 47480 1408969 2817938 5635876 7044845 11271752 14089690 28179380 56358760