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55628544 = 283113641
BaseRepresentation
bin1101010000110…
…1001100000000
310212200020000110
43110031030000
5103220103134
65304151320
71243556226
oct324151400
9125606013
1055628544
1129445604
1216768540
13b6a92ca
147560b16
154d3c7e9
hex350d300

55628544 has 72 divisors (see below), whose sum is σ = 149596272. Its totient is φ = 18350080.

The previous prime is 55628543. The next prime is 55628557. The reversal of 55628544 is 44582655.

It is not an unprimeable number, because it can be changed into a prime (55628543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86464 + ... + 87104.

It is an arithmetic number, because the mean of its divisors is an integer number (2077726).

Almost surely, 255628544 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 55628544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74798136).

55628544 is an abundant number, since it is smaller than the sum of its proper divisors (93967728).

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

55628544 is a wasteful number, since it uses less digits than its factorization.

55628544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 759 counting only the distinct ones).

The product of its digits is 192000, while the sum is 39.

The square root of 55628544 is about 7458.4545316037. The cubic root of 55628544 is about 381.7384428826.

The spelling of 55628544 in words is "fifty-five million, six hundred twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 256 339 384 452 641 678 768 904 1282 1356 1808 1923 2564 2712 3616 3846 5128 5424 7232 7692 10256 10848 14464 15384 20512 21696 28928 30768 41024 43392 61536 72433 82048 86784 123072 144866 164096 217299 246144 289732 434598 492288 579464 869196 1158928 1738392 2317856 3476784 4635712 6953568 9271424 13907136 18542848 27814272 55628544