Search a number
-
+
56492700 = 2235211171953
BaseRepresentation
bin1101011110000…
…0001010011100
310221022010102020
43113200022130
5103430231300
65334500140
71254115515
oct327401234
9127263366
1056492700
1129985890
1216b04650
13b91c744
147707a0c
154e5d8a0
hex35e029c

56492700 has 288 divisors, whose sum is σ = 202487040. Its totient is φ = 11980800.

The previous prime is 56492693. The next prime is 56492701. The reversal of 56492700 is 729465.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56492701) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1065874 + ... + 1065926.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 256492700 is an apocalyptic number.

56492700 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 56492700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101243520).

56492700 is an abundant number, since it is smaller than the sum of its proper divisors (145994340).

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

56492700 is a wasteful number, since it uses less digits than its factorization.

56492700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 56492700 is about 7516.1625847237. The cubic root of 56492700 is about 383.7049871694.

The spelling of 56492700 in words is "fifty-six million, four hundred ninety-two thousand, seven hundred".