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55424656 = 2474710529
BaseRepresentation
bin1101001101101…
…1011010010000
310212021212100001
43103123122100
5103142042111
65255535344
71242046630
oct323333220
9125255301
1055424656
1129316401
121668a554
13b637571
14750a6c0
154cec1c1
hex34db690

55424656 has 40 divisors (see below), whose sum is σ = 125349120. Its totient is φ = 23245824.

The previous prime is 55424651. The next prime is 55424689. The reversal of 55424656 is 65642455.

55424656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

55424656 is a nontrivial binomial coefficient, being equal to C(10529, 2).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55424651) by changing a digit.

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, 1 + ... + 10528.

It is an arithmetic number, because the mean of its divisors is an integer number (3133728).

Almost surely, 255424656 is an apocalyptic number.

55424656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

55424656 is the 10528-th triangular number.

55424656 is the 3510-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55424656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62674560).

55424656 is an abundant number, since it is smaller than the sum of its proper divisors (69924464).

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

55424656 is a wasteful number, since it uses less digits than its factorization.

55424656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10591 (or 10585 counting only the distinct ones).

The product of its digits is 144000, while the sum is 37.

The square root of 55424656 is about 7444.7737373274. The cubic root of 55424656 is about 381.2714933327.

The spelling of 55424656 in words is "fifty-five million, four hundred twenty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1316 2632 5264 10529 21058 42116 73703 84232 147406 168464 294812 494863 589624 989726 1179248 1979452 3464041 3958904 6928082 7917808 13856164 27712328 55424656