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55637808 = 24331139269
BaseRepresentation
bin1101010000111…
…1011100110000
310212200200201120
43110033130300
5103220402213
65304302240
71243625232
oct324173460
9125620646
1055637808
1129451566
1216771980
13b6b05a5
147564252
154d40423
hex350f730

55637808 has 80 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 17752320.

The previous prime is 55637807. The next prime is 55637809. The reversal of 55637808 is 80873655.

55637808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55637807) and next prime (55637809).

It is a self number, because there is not a number n which added to its sum of digits gives 55637808.

It is not an unprimeable number, because it can be changed into a prime (55637807) 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 15 ways as a sum of consecutive naturals, for example, 206698 + ... + 206966.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 255637808 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 55637808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

55637808 is an abundant number, since it is smaller than the sum of its proper divisors (94352592).

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

55637808 is a wasteful number, since it uses less digits than its factorization.

55637808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 55637808 is about 7459.0755459373. The cubic root of 55637808 is about 381.7596324158.

The spelling of 55637808 in words is "fifty-five million, six hundred thirty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 139 186 248 269 278 372 417 496 538 556 744 807 834 1076 1112 1488 1614 1668 2152 2224 3228 3336 4304 4309 6456 6672 8339 8618 12912 12927 16678 17236 25017 25854 33356 34472 37391 50034 51708 66712 68944 74782 100068 103416 112173 133424 149564 200136 206832 224346 299128 400272 448692 598256 897384 1159121 1794768 2318242 3477363 4636484 6954726 9272968 13909452 18545936 27818904 55637808