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56441224 = 23717101587
BaseRepresentation
bin1101011101001…
…1100110001000
310221012111210201
43113103212020
5103422104344
65333421544
71253512450
oct327234610
9127174721
1056441224
1129950144
1216a9a8b4
13b902198
1476d2d60
154e4d4d4
hex35d3988

56441224 has 64 divisors (see below), whose sum is σ = 129548160. Its totient is φ = 22502400.

The previous prime is 56441201. The next prime is 56441227. The reversal of 56441224 is 42214465.

56441224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×564412242 = 6371223533236352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 56441192 and 56441201.

It is not an unprimeable number, because it can be changed into a prime (56441227) 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 15 ways as a sum of consecutive naturals, for example, 95859 + ... + 96445.

It is an arithmetic number, because the mean of its divisors is an integer number (2024190).

Almost surely, 256441224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56441224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64774080).

56441224 is an abundant number, since it is smaller than the sum of its proper divisors (73106936).

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

56441224 is a wasteful number, since it uses less digits than its factorization.

56441224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 714 counting only the distinct ones).

The product of its digits is 7680, while the sum is 28.

The square root of 56441224 is about 7512.7374504903. The cubic root of 56441224 is about 383.5884080942.

Adding to 56441224 its reverse (42214465), we get a palindrome (98655689).

It can be divided in two parts, 56441 and 224, that added together give a palindrome (56665).

The spelling of 56441224 in words is "fifty-six million, four hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 101 119 136 202 238 404 476 587 707 808 952 1174 1414 1717 2348 2828 3434 4109 4696 5656 6868 8218 9979 12019 13736 16436 19958 24038 32872 39916 48076 59287 69853 79832 96152 118574 139706 237148 279412 415009 474296 558824 830018 1007879 1660036 2015758 3320072 4031516 7055153 8063032 14110306 28220612 56441224