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90044856 = 233211414759
BaseRepresentation
bin1010101110111…
…11100110111000
320021102202022200
411113133212320
5141022413411
612533550200
72142240306
oct527374670
9207382280
1090044856
1146912040
12261a5360
13158694a5
14bd5d276
157d89e56
hex55df9b8

90044856 has 192 divisors, whose sum is σ = 283046400. Its totient is φ = 25612800.

The previous prime is 90044831. The next prime is 90044891. The reversal of 90044856 is 65844009.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 90044856.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1526155 + ... + 1526213.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 290044856 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 90044856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

90044856 is an abundant number, since it is smaller than the sum of its proper divisors (193001544).

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

90044856 is a wasteful number, since it uses less digits than its factorization.

90044856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 90044856 is about 9489.1968047881. The cubic root of 90044856 is about 448.2149133612.

The spelling of 90044856 in words is "ninety million, forty-four thousand, eight hundred fifty-six".