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56145744 = 2433129967
BaseRepresentation
bin1101011000101…
…1011101010000
310220122111111000
43112023131100
5103333130434
65323222000
71251142134
oct326133520
9126574430
1056145744
1129769146
1216977900
13b82a845
1476573c4
154de0b99
hex358b750

56145744 has 40 divisors (see below), whose sum is σ = 161160320. Its totient is φ = 18715104.

The previous prime is 56145731. The next prime is 56145773. The reversal of 56145744 is 44754165.

56145744 is a `hidden beast` number, since 561 + 4 + 57 + 44 = 666.

56145744 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 56145699 and 56145708.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 64552 + ... + 65415.

It is an arithmetic number, because the mean of its divisors is an integer number (4029008).

Almost surely, 256145744 is an apocalyptic number.

56145744 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

56145744 is an abundant number, since it is smaller than the sum of its proper divisors (105014576).

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

56145744 is a wasteful number, since it uses less digits than its factorization.

56145744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129984 (or 129972 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 56145744 is about 7493.0463764747. The cubic root of 56145744 is about 382.9178517060.

The spelling of 56145744 in words is "fifty-six million, one hundred forty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 129967 259934 389901 519868 779802 1039736 1169703 1559604 2079472 2339406 3119208 3509109 4678812 6238416 7018218 9357624 14036436 18715248 28072872 56145744