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56372544 = 26331719101
BaseRepresentation
bin1101011100001…
…0110101000000
310221002000121000
43113002311000
5103412410134
65332132000
71253105304
oct327026500
9127060530
1056372544
1129903588
1216a67000
13b8a9b47
1476b5d04
154e37e99
hex35c2d40

56372544 has 224 divisors, whose sum is σ = 186537600. Its totient is φ = 16588800.

The previous prime is 56372543. The next prime is 56372557. The reversal of 56372544 is 44527365.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56372499 and 56372508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56372543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 558094 + ... + 558194.

Almost surely, 256372544 is an apocalyptic number.

56372544 is a gapful number since it is divisible by the number (54) 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 56372544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93268800).

56372544 is an abundant number, since it is smaller than the sum of its proper divisors (130165056).

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

56372544 is a wasteful number, since it uses less digits than its factorization.

56372544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 56372544 is about 7508.1651553492. The cubic root of 56372544 is about 383.4327562316.

The spelling of 56372544 in words is "fifty-six million, three hundred seventy-two thousand, five hundred forty-four".