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55823808 = 2633183113
BaseRepresentation
bin1101010011110…
…0110111000000
310220001010212110
43110330313000
5103242330213
65312255320
71245331425
oct324746700
9126033773
1055823808
1129569287
1216841540
13b747151
1475b1d4c
154d7a5c3
hex353cdc0

55823808 has 112 divisors (see below), whose sum is σ = 155667456. Its totient is φ = 17633280.

The previous prime is 55823749. The next prime is 55823809. The reversal of 55823808 is 80832855.

55823808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55823809) 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, 493960 + ... + 494072.

It is an arithmetic number, because the mean of its divisors is an integer number (1389888).

Almost surely, 255823808 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 55823808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77833728).

55823808 is an abundant number, since it is smaller than the sum of its proper divisors (99843648).

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

55823808 is a wasteful number, since it uses less digits than its factorization.

55823808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 55823808 is about 7471.5331759954. The cubic root of 55823808 is about 382.1845731400.

The spelling of 55823808 in words is "fifty-five million, eight hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 83 93 96 113 124 166 186 192 226 248 249 332 339 372 452 496 498 664 678 744 904 992 996 1328 1356 1488 1808 1984 1992 2573 2656 2712 2976 3503 3616 3984 5146 5312 5424 5952 7006 7232 7719 7968 9379 10292 10509 10848 14012 15438 15936 18758 20584 21018 21696 28024 28137 30876 37516 41168 42036 56048 56274 61752 75032 82336 84072 112096 112548 123504 150064 164672 168144 224192 225096 247008 290749 300128 336288 450192 494016 581498 600256 672576 872247 900384 1162996 1744494 1800768 2325992 3488988 4651984 6977976 9303968 13955952 18607936 27911904 55823808