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90331384 = 2311132812
BaseRepresentation
bin1010110001001…
…01100011111000
320021222022100211
411120211203320
5141111101014
612544040504
72144542543
oct530454370
9207868324
1090331384
1146a98340
1226303134
1315939a30
14bdd585a
157de4cc4
hex56258f8

90331384 has 48 divisors (see below), whose sum is σ = 199692360. Its totient is φ = 37766400.

The previous prime is 90331337. The next prime is 90331391. The reversal of 90331384 is 48313309.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 321324 + ... + 321604.

Almost surely, 290331384 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 90331384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99846180).

90331384 is an abundant number, since it is smaller than the sum of its proper divisors (109360976).

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

90331384 is a wasteful number, since it uses less digits than its factorization.

90331384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 90331384 is about 9504.2824032117. The cubic root of 90331384 is about 448.6898253435.

The spelling of 90331384 in words is "ninety million, three hundred thirty-one thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 281 286 562 572 1124 1144 2248 3091 3653 6182 7306 12364 14612 24728 29224 40183 78961 80366 157922 160732 315844 321464 631688 868571 1026493 1737142 2052986 3474284 4105972 6948568 8211944 11291423 22582846 45165692 90331384