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90460916 = 22713257967
BaseRepresentation
bin1010110010001…
…01001011110100
320022012220001022
411121011023310
5141124222131
612550520312
72145622310
oct531051364
9208186038
1090460916
1147076697
1226366098
1315983990
14c02ab40
157e1d37b
hex56452f4

90460916 has 48 divisors (see below), whose sum is σ = 195799296. Its totient is φ = 35610624.

The previous prime is 90460913. The next prime is 90460933. The reversal of 90460916 is 61906409.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90460913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93065 + ... + 94031.

It is an arithmetic number, because the mean of its divisors is an integer number (4079152).

Almost surely, 290460916 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 90460916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97899648).

90460916 is an abundant number, since it is smaller than the sum of its proper divisors (105338380).

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

90460916 is a wasteful number, since it uses less digits than its factorization.

90460916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 90460916 is about 9511.0943639520. The cubic root of 90460916 is about 448.9041913422.

The spelling of 90460916 in words is "ninety million, four hundred sixty thousand, nine hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 257 364 514 967 1028 1799 1934 3341 3598 3868 6682 6769 7196 12571 13364 13538 23387 25142 27076 46774 50284 87997 93548 175994 248519 351988 497038 994076 1739633 3230747 3479266 6461494 6958532 12922988 22615229 45230458 90460916