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90045594 = 235414519
BaseRepresentation
bin1010101110111…
…11110010011010
320021102210100000
411113133302122
5141022424334
612533553430
72142242412
oct527376232
9207383300
1090045594
1146912651
12261a5876
1315869922
14bd5d642
157d8a299
hex55dfc9a

90045594 has 48 divisors (see below), whose sum is σ = 207305280. Its totient is φ = 29276640.

The previous prime is 90045581. The next prime is 90045619. The reversal of 90045594 is 49554009.

It is a super-3 number, since 3×900455943 (a number of 25 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 17667 + ... + 22185.

It is an arithmetic number, because the mean of its divisors is an integer number (4318860).

Almost surely, 290045594 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90045594, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103652640).

90045594 is an abundant number, since it is smaller than the sum of its proper divisors (117259686).

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

90045594 is a wasteful number, since it uses less digits than its factorization.

90045594 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4577 (or 4565 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 90045594 is about 9489.2356910343. The cubic root of 90045594 is about 448.2161378683.

The spelling of 90045594 in words is "ninety million, forty-five thousand, five hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 243 246 369 486 738 1107 2214 3321 4519 6642 9038 9963 13557 19926 27114 40671 81342 122013 185279 244026 366039 370558 555837 732078 1098117 1111674 1667511 2196234 3335022 5002533 10005066 15007599 30015198 45022797 90045594