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90840912 = 24331411489
BaseRepresentation
bin1010110101000…
…01111101010000
320022221012022020
411122201331100
5141223402122
613003011440
72152064211
oct532417520
9208835266
1090840912
1147306138
1226509b80
1315a87926
14c0c9408
157e95c5c
hex56a1f50

90840912 has 80 divisors (see below), whose sum is σ = 248317440. Its totient is φ = 28569600.

The previous prime is 90840907. The next prime is 90840917. The reversal of 90840912 is 21904809.

It is an interprime number because it is at equal distance from previous prime (90840907) and next prime (90840917).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90840917) 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, 60264 + ... + 61752.

It is an arithmetic number, because the mean of its divisors is an integer number (3103968).

Almost surely, 290840912 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 90840912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124158720).

90840912 is an abundant number, since it is smaller than the sum of its proper divisors (157476528).

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

90840912 is a wasteful number, since it uses less digits than its factorization.

90840912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 90840912 is about 9531.0498897026. The cubic root of 90840912 is about 449.5318786285.

The spelling of 90840912 in words is "ninety million, eight hundred forty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 41 48 62 82 93 123 124 164 186 246 248 328 372 492 496 656 744 984 1271 1488 1489 1968 2542 2978 3813 4467 5084 5956 7626 8934 10168 11912 15252 17868 20336 23824 30504 35736 46159 61008 61049 71472 92318 122098 138477 183147 184636 244196 276954 366294 369272 488392 553908 732588 738544 976784 1107816 1465176 1892519 2215632 2930352 3785038 5677557 7570076 11355114 15140152 22710228 30280304 45420456 90840912