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90032376 = 23371992693
BaseRepresentation
bin1010101110111…
…00100011111000
320021102010012110
411113130203320
5141022014001
612533412320
72142156030
oct527344370
9207363173
1090032376
1146903725
122619a0a0
13158638c5
14bd588c0
157d863d6
hex55dc8f8

90032376 has 64 divisors (see below), whose sum is σ = 258624000. Its totient is φ = 25584768.

The previous prime is 90032363. The next prime is 90032381. The reversal of 90032376 is 67323009.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32086 + ... + 34778.

It is an arithmetic number, because the mean of its divisors is an integer number (4041000).

Almost surely, 290032376 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 90032376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129312000).

90032376 is an abundant number, since it is smaller than the sum of its proper divisors (168591624).

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

90032376 is a wasteful number, since it uses less digits than its factorization.

90032376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 90032376 is about 9488.5391920991. The cubic root of 90032376 is about 448.1942052356.

The spelling of 90032376 in words is "ninety million, thirty-two thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 199 398 597 796 1194 1393 1592 2388 2693 2786 4179 4776 5386 5572 8079 8358 10772 11144 16158 16716 18851 21544 32316 33432 37702 56553 64632 75404 113106 150808 226212 452424 535907 1071814 1607721 2143628 3215442 3751349 4287256 6430884 7502698 11254047 12861768 15005396 22508094 30010792 45016188 90032376