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90167484 = 22311683087
BaseRepresentation
bin1010101111111…
…01100010111100
320021122222112110
411113331202330
5141040324414
612540334020
72143260651
oct527754274
9207588473
1090167484
1146996190
1226244310
13158b0254
14bd91c28
157db1459
hex55fd8bc

90167484 has 24 divisors (see below), whose sum is σ = 229517568. Its totient is φ = 27323440.

The previous prime is 90167459. The next prime is 90167489. The reversal of 90167484 is 48476109.

It is a happy number.

It is a super-3 number, since 3×901674843 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90167489) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 341412 + ... + 341675.

It is an arithmetic number, because the mean of its divisors is an integer number (9563232).

Almost surely, 290167484 is an apocalyptic number.

It is an amenable number.

90167484 is an abundant number, since it is smaller than the sum of its proper divisors (139350084).

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

90167484 is a wasteful number, since it uses less digits than its factorization.

90167484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683105 (or 683103 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 90167484 is about 9495.6560594832. The cubic root of 90167484 is about 448.4182889114.

The spelling of 90167484 in words is "ninety million, one hundred sixty-seven thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 683087 1366174 2049261 2732348 4098522 7513957 8197044 15027914 22541871 30055828 45083742 90167484