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55485000 = 233454137
BaseRepresentation
bin1101001110101…
…0001001001000
310212101221010000
43103222021020
5103201010000
65301123000
71242420564
oct323521110
9125357100
1055485000
112935777a
12166b9460
13b658b7c
1475246a4
154d10000
hex34ea248

55485000 has 200 divisors, whose sum is σ = 195617070. Its totient is φ = 14688000.

The previous prime is 55484983. The next prime is 55485019. The reversal of 55485000 is 58455.

It can be written as a sum of positive squares in 5 ways, for example, as 1285956 + 54199044 = 1134^2 + 7362^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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

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 49 ways as a sum of consecutive naturals, for example, 404932 + ... + 405068.

Almost surely, 255485000 is an apocalyptic number.

55485000 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 55485000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97808535).

55485000 is an abundant number, since it is smaller than the sum of its proper divisors (140132070).

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

55485000 is a wasteful number, since it uses less digits than its factorization.

55485000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 55485000 is about 7448.8254107611. The cubic root of 55485000 is about 381.4098138556.

The spelling of 55485000 in words is "fifty-five million, four hundred eighty-five thousand".