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90009144 = 233546301
BaseRepresentation
bin1010101110101…
…10111000111000
320021100221100000
411113112320320
5141020243034
612533113000
72142031221
oct527267070
9207327300
1090009144
1146898225
1226188760
1315856164
14bd50248
157d7e599
hex55d6e38

90009144 has 48 divisors (see below), whose sum is σ = 252808920. Its totient is φ = 30002400.

The previous prime is 90009119. The next prime is 90009167. The reversal of 90009144 is 44190009.

It is a super-2 number, since 2×900091442 = 16203292007225472, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21207 + ... + 25094.

Almost surely, 290009144 is an apocalyptic number.

It is an amenable number.

90009144 is an abundant number, since it is smaller than the sum of its proper divisors (162799776).

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

90009144 is a wasteful number, since it uses less digits than its factorization.

90009144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46322 (or 46306 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 90009144 is about 9487.3148993801. The cubic root of 90009144 is about 448.1556511658.

The spelling of 90009144 in words is "ninety million, nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 46301 92602 138903 185204 277806 370408 416709 555612 833418 1111224 1250127 1666836 2500254 3333672 3750381 5000508 7500762 10001016 11251143 15001524 22502286 30003048 45004572 90009144