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90250092 = 22331316379
BaseRepresentation
bin1010110000100…
…01101101101100
320021211011212000
411120101231230
5141101000332
612542212300
72144053542
oct530215554
9207734760
1090250092
1146a42259
1226284090
131590ba2a
14bdb3d92
157dcab7c
hex5611b6c

90250092 has 48 divisors (see below), whose sum is σ = 235804800. Its totient is φ = 29849040.

The previous prime is 90250079. The next prime is 90250109. The reversal of 90250092 is 29005209.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10959 + ... + 17337.

It is an arithmetic number, because the mean of its divisors is an integer number (4912600).

Almost surely, 290250092 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 90250092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117902400).

90250092 is an abundant number, since it is smaller than the sum of its proper divisors (145554708).

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

90250092 is a wasteful number, since it uses less digits than its factorization.

90250092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6523 (or 6515 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 90250092 is about 9500.0048421040. The cubic root of 90250092 is about 448.5551883408. Note that the first 3 decimals are identical.

The spelling of 90250092 in words is "ninety million, two hundred fifty thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 262 393 524 786 1179 1572 2358 3537 4716 6379 7074 12758 14148 19137 25516 38274 57411 76548 114822 172233 229644 344466 688932 835649 1671298 2506947 3342596 5013894 7520841 10027788 15041682 22562523 30083364 45125046 90250092