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90668484 = 2234234
BaseRepresentation
bin1010110011101…
…11110111000100
320022121102210000
411121313313010
5141202342414
612555201300
72150445414
oct531676704
9208542700
1090668484
11471a8635
1226446230
1315a272ba
14c082644
157e5eb09
hex5677dc4

90668484 has 75 divisors (see below), whose sum is σ = 247799167. Its totient is φ = 28908792.

The previous prime is 90668477. The next prime is 90668503. The reversal of 90668484 is 48486609.

It is a happy number.

The square root of 90668484 is 9522.

It is a perfect power (a square), and thus also a powerful number.

It is an ABA number since it can be written as A⋅BA, here for A=4, B=69.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 3942097 + ... + 3942119.

Almost surely, 290668484 is an apocalyptic number.

90668484 is the 9522-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90668484

90668484 is an abundant number, since it is smaller than the sum of its proper divisors (157130683).

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

90668484 is an frugal number, since it uses more digits than its factorization.

90668484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The cubic root of 90668484 is about 449.2472749353.

Multiplying 90668484 by its product of nonzero digits (331776), we get a square (30081626947584 = 54846722).

The spelling of 90668484 in words is "ninety million, six hundred sixty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 529 621 828 1058 1242 1587 1863 2116 2484 3174 3726 4761 6348 7452 9522 12167 14283 19044 24334 28566 36501 42849 48668 57132 73002 85698 109503 146004 171396 219006 279841 328509 438012 559682 657018 839523 985527 1119364 1314036 1679046 1971054 2518569 3358092 3942108 5037138 7555707 10074276 15111414 22667121 30222828 45334242 90668484