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56784 = 2437132
BaseRepresentation
bin1101110111010000
32212220010
431313100
53304114
61114520
7324360
oct156720
985803
1056784
1139732
1228a40
131cb00
14169a0
1511c59
hexddd0

56784 has 60 divisors (see below), whose sum is σ = 181536. Its totient is φ = 14976.

The previous prime is 56783. The next prime is 56807. The reversal of 56784 is 48765.

Adding to 56784 its product of digits (6720), we get a square (63504 = 2522).

It is a happy number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56783) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4362 + ... + 4374.

256784 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 56784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90768).

56784 is an abundant number, since it is smaller than the sum of its proper divisors (124752).

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

56784 is a wasteful number, since it uses less digits than its factorization.

56784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 25 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 56784 is about 238.2939361377. The cubic root of 56784 is about 38.4363371318.

The spelling of 56784 in words is "fifty-six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 169 182 208 273 312 336 338 364 507 546 624 676 728 1014 1092 1183 1352 1456 2028 2184 2366 2704 3549 4056 4368 4732 7098 8112 9464 14196 18928 28392 56784