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56445100 = 22521733203
BaseRepresentation
bin1101011101010…
…0100010101100
310221012201010021
43113110202230
5103422220400
65333451524
71253526655
oct327244254
9127181107
1056445100
1129953048
1216aa0ba4
13b903b8a
1476d452c
154e4e71a
hex35d48ac

56445100 has 36 divisors (see below), whose sum is σ = 129694824. Its totient is φ = 21249280.

The previous prime is 56445097. The next prime is 56445101. The reversal of 56445100 is 154465.

56445100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (56445101) 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, 14902 + ... + 18301.

It is an arithmetic number, because the mean of its divisors is an integer number (3602634).

Almost surely, 256445100 is an apocalyptic number.

56445100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56445100 is an abundant number, since it is smaller than the sum of its proper divisors (73249724).

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

56445100 is a wasteful number, since it uses less digits than its factorization.

56445100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33234 (or 33227 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 56445100 is about 7512.9954079581. The cubic root of 56445100 is about 383.5971886423.

Adding to 56445100 its reverse (154465), we get a palindrome (56599565).

The spelling of 56445100 in words is "fifty-six million, four hundred forty-five thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 33203 66406 132812 166015 332030 564451 664060 830075 1128902 1660150 2257804 2822255 3320300 5644510 11289020 14111275 28222550 56445100