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55782864 = 2433129127
BaseRepresentation
bin1101010011001…
…0110111010000
310212222001201000
43110302313100
5103240022424
65311342000
71245101154
oct324626720
9125861630
1055782864
1129540545
1216821900
13b731617
1475a1064
154d6d3c9
hex3532dd0

55782864 has 40 divisors (see below), whose sum is σ = 160118720. Its totient is φ = 18594144.

The previous prime is 55782851. The next prime is 55782893. The reversal of 55782864 is 46828755.

55782864 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 2×557828642 = 6223455832084992, which contains 22 as substring.

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, 64132 + ... + 64995.

It is an arithmetic number, because the mean of its divisors is an integer number (4002968).

Almost surely, 255782864 is an apocalyptic number.

55782864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

55782864 is an abundant number, since it is smaller than the sum of its proper divisors (104335856).

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

55782864 is a wasteful number, since it uses less digits than its factorization.

55782864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129144 (or 129132 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 55782864 is about 7468.7926735183. The cubic root of 55782864 is about 382.0911124644.

The spelling of 55782864 in words is "fifty-five million, seven hundred eighty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 129127 258254 387381 516508 774762 1033016 1162143 1549524 2066032 2324286 3099048 3486429 4648572 6198096 6972858 9297144 13945716 18594288 27891432 55782864