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56404200 = 2335294007
BaseRepresentation
bin1101011100101…
…0100011101000
310221010122000110
43113022203220
5103414413300
65332534320
71253266506
oct327124350
9127118013
1056404200
1129925346
1216a813a0
13b8bb388
1476c3676
154e42550
hex35ca8e8

56404200 has 48 divisors (see below), whose sum is σ = 174854880. Its totient is φ = 15040960.

The previous prime is 56404123. The next prime is 56404207. The reversal of 56404200 is 240465.

It is a happy number.

56404200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56404207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46404 + ... + 47603.

It is an arithmetic number, because the mean of its divisors is an integer number (3642810).

Almost surely, 256404200 is an apocalyptic number.

56404200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56404200 is an abundant number, since it is smaller than the sum of its proper divisors (118450680).

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

56404200 is a wasteful number, since it uses less digits than its factorization.

56404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94026 (or 94017 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 56404200 is about 7510.2729644135. The cubic root of 56404200 is about 383.5045150180.

Adding to 56404200 its reverse (240465), we get a palindrome (56644665).

The spelling of 56404200 in words is "fifty-six million, four hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 94007 188014 282021 376028 470035 564042 752056 940070 1128084 1410105 1880140 2256168 2350175 2820210 3760280 4700350 5640420 7050525 9400700 11280840 14101050 18801400 28202100 56404200