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90872334 = 2337311773
BaseRepresentation
bin1010110101010…
…01101000001110
320022222210102000
411122221220032
5141230403314
613003413130
72152254630
oct532515016
9208883360
1090872334
1147327803
12265241a6
1315a99017
14c0d6a50
157ea0209
hex56a9a0e

90872334 has 64 divisors (see below), whose sum is σ = 231828480. Its totient is φ = 25846560.

The previous prime is 90872329. The next prime is 90872347. The reversal of 90872334 is 43327809.

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 31 ways as a sum of consecutive naturals, for example, 117172 + ... + 117944.

It is an arithmetic number, because the mean of its divisors is an integer number (3622320).

Almost surely, 290872334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90872334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115914240).

90872334 is an abundant number, since it is smaller than the sum of its proper divisors (140956146).

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

90872334 is a wasteful number, since it uses less digits than its factorization.

90872334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 90872334 is about 9532.6981490027. The cubic root of 90872334 is about 449.5837038911.

The spelling of 90872334 in words is "ninety million, eight hundred seventy-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 311 378 622 773 933 1546 1866 2177 2319 2799 4354 4638 5411 5598 6531 6957 8397 10822 13062 13914 16233 16794 19593 20871 32466 39186 41742 48699 58779 97398 117558 146097 240403 292194 480806 721209 1442418 1682821 2163627 3365642 4327254 5048463 6490881 10096926 12981762 15145389 30290778 45436167 90872334