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90907488 = 2533715031
BaseRepresentation
bin1010110101100…
…10001101100000
320100001120122000
411122302031200
5141233014423
613004244000
72152462260
oct532621540
9210046560
1090907488
1147351161
1226540600
1315aac019
14c1057a0
157eaa843
hex56b2360

90907488 has 96 divisors (see below), whose sum is σ = 303045120. Its totient is φ = 25971840.

The previous prime is 90907463. The next prime is 90907501. The reversal of 90907488 is 88470909.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1468 + ... + 13563.

It is an arithmetic number, because the mean of its divisors is an integer number (3156720).

Almost surely, 290907488 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 90907488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151522560).

90907488 is an abundant number, since it is smaller than the sum of its proper divisors (212137632).

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

90907488 is a wasteful number, since it uses less digits than its factorization.

90907488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15057 (or 15043 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 90907488 is about 9534.5418348235. The cubic root of 90907488 is about 449.6416702976.

The spelling of 90907488 in words is "ninety million, nine hundred seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 15031 30062 45093 60124 90186 105217 120248 135279 180372 210434 240496 270558 315651 360744 405837 420868 480992 541116 631302 721488 811674 841736 946953 1082232 1262604 1442976 1623348 1683472 1893906 2164464 2525208 2840859 3246696 3366944 3787812 4328928 5050416 5681718 6493392 7575624 10100832 11363436 12986784 15151248 22726872 30302496 45453744 90907488