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90841088 = 21313853
BaseRepresentation
bin1010110101000…
…10000000000000
320022221012112202
411122202000000
5141223403323
613003012332
72152064552
oct532420000
9208835482
1090841088
1147306288
122650a0a8
1315a87a30
14c0c94d2
157e95d28
hex56a2000

90841088 has 56 divisors (see below), whose sum is σ = 195875148. Its totient is φ = 41877504.

The previous prime is 90841043. The next prime is 90841103. The reversal of 90841088 is 88014809.

It can be written as a sum of positive squares in 2 ways, for example, as 72454144 + 18386944 = 8512^2 + 4288^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106070 + ... + 106922.

Almost surely, 290841088 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 90841088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97937574).

90841088 is an abundant number, since it is smaller than the sum of its proper divisors (105034060).

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

90841088 is an equidigital number, since it uses as much as digits as its factorization.

90841088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 90841088 is about 9531.0591226789. The cubic root of 90841088 is about 449.5321689439.

The spelling of 90841088 in words is "ninety million, eight hundred forty-one thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 853 1024 1664 1706 2048 3328 3412 4096 6656 6824 8192 11089 13312 13648 22178 26624 27296 44356 53248 54592 88712 106496 109184 177424 218368 354848 436736 709696 873472 1419392 1746944 2838784 3493888 5677568 6987776 11355136 22710272 45420544 90841088