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55999000 = 2353291931
BaseRepresentation
bin1101010110011…
…1101000011000
310220101001012001
43111213220120
5103313432000
65320130344
71246661251
oct325475030
9126331161
1055999000
1129678972
12169069b4
13b7a8b05
147619b28
154db246a
hex3567a18

55999000 has 64 divisors (see below), whose sum is σ = 135626400. Its totient is φ = 21616000.

The previous prime is 55998991. The next prime is 55999007. The reversal of 55999000 is 99955.

It is a happy number.

55999000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55999007) 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, 28035 + ... + 29965.

Almost surely, 255999000 is an apocalyptic number.

55999000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55999000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67813200).

55999000 is an abundant number, since it is smaller than the sum of its proper divisors (79627400).

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

55999000 is a wasteful number, since it uses less digits than its factorization.

55999000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 18225, while the sum is 37.

The square root of 55999000 is about 7483.2479579391. The cubic root of 55999000 is about 382.5839592419.

The spelling of 55999000 in words is "fifty-five million, nine hundred ninety-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 1931 2900 3625 3862 5800 7250 7724 9655 14500 15448 19310 29000 38620 48275 55999 77240 96550 111998 193100 223996 241375 279995 386200 447992 482750 559990 965500 1119980 1399975 1931000 2239960 2799950 5599900 6999875 11199800 13999750 27999500 55999000