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55851300 = 22325262057
BaseRepresentation
bin1101010100001…
…1100100100100
310220002112120200
43111003210210
5103244220200
65313030500
71245504531
oct325034444
9126075520
1055851300
11295879aa
1216855430
13b75680b
1475bbd88
154d83800
hex3543924

55851300 has 54 divisors (see below), whose sum is σ = 175065618. Its totient is φ = 14893440.

The previous prime is 55851293. The next prime is 55851311. The reversal of 55851300 is 315855.

It can be written as a sum of positive squares in 3 ways, for example, as 2005056 + 53846244 = 1416^2 + 7338^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30129 + ... + 31928.

Almost surely, 255851300 is an apocalyptic number.

55851300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55851300 is an abundant number, since it is smaller than the sum of its proper divisors (119214318).

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

55851300 is a wasteful number, since it uses less digits than its factorization.

55851300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62077 (or 62067 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 55851300 is about 7473.3727325753. The cubic root of 55851300 is about 382.2473020145.

The spelling of 55851300 in words is "fifty-five million, eight hundred fifty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 62057 124114 186171 248228 310285 372342 558513 620570 744684 930855 1117026 1241140 1551425 1861710 2234052 2792565 3102850 3723420 4654275 5585130 6205700 9308550 11170260 13962825 18617100 27925650 55851300