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55801008 = 2433129169
BaseRepresentation
bin1101010011011…
…1010010110000
310212222222121000
43110313102300
5103241113013
65312002000
71245205104
oct324672260
9125888530
1055801008
112955313a
1216830300
13b739963
1475a7904
154d73973
hex35374b0

55801008 has 40 divisors (see below), whose sum is σ = 160170800. Its totient is φ = 18600192.

The previous prime is 55801007. The next prime is 55801019. The reversal of 55801008 is 80010855.

55801008 is a `hidden beast` number, since 558 + 0 + 100 + 8 = 666.

55801008 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 2×558010082 = 6227504987632128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (55801001) 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, 64153 + ... + 65016.

It is an arithmetic number, because the mean of its divisors is an integer number (4004270).

Almost surely, 255801008 is an apocalyptic number.

It is an amenable number.

55801008 is an abundant number, since it is smaller than the sum of its proper divisors (104369792).

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

55801008 is a wasteful number, since it uses less digits than its factorization.

55801008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129186 (or 129174 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 55801008 is about 7470.0072289122. The cubic root of 55801008 is about 382.1325344420.

The spelling of 55801008 in words is "fifty-five million, eight hundred one thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 129169 258338 387507 516676 775014 1033352 1162521 1550028 2066704 2325042 3100056 3487563 4650084 6200112 6975126 9300168 13950252 18600336 27900504 55801008