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56445444 = 22331147513
BaseRepresentation
bin1101011101010…
…0101000000100
310221012201121000
43113110220010
5103422223234
65333453300
71253530656
oct327245004
9127181530
1056445444
1129953330
1216aa1230
13b904093
1476d46d6
154e4e899
hex35d4a04

56445444 has 48 divisors (see below), whose sum is σ = 159647040. Its totient is φ = 17104320.

The previous prime is 56445443. The next prime is 56445463. The reversal of 56445444 is 44454465.

56445444 is a `hidden beast` number, since 5 + 644 + 5 + 4 + 4 + 4 = 666.

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 = 56445399 and 56445408.

It is not an unprimeable number, because it can be changed into a prime (56445443) 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 15 ways as a sum of consecutive naturals, for example, 22569 + ... + 24944.

It is an arithmetic number, because the mean of its divisors is an integer number (3325980).

Almost surely, 256445444 is an apocalyptic number.

56445444 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

56445444 is an abundant number, since it is smaller than the sum of its proper divisors (103201596).

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

56445444 is a wasteful number, since it uses less digits than its factorization.

56445444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47537 (or 47529 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The square root of 56445444 is about 7513.0183015883. The cubic root of 56445444 is about 383.5979679078.

The spelling of 56445444 in words is "fifty-six million, four hundred forty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 47513 95026 142539 190052 285078 427617 522643 570156 855234 1045286 1282851 1567929 1710468 2090572 2565702 3135858 4703787 5131404 6271716 9407574 14111361 18815148 28222722 56445444