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90480522 = 231129411153
BaseRepresentation
bin1010110010010…
…01111110001010
320022020212221110
411121021332022
5141130334042
612551151150
72146033416
oct531117612
9208225843
1090480522
114708a3a0
12263754b6
131598c892
14c033d46
157e2409c
hex5649f8a

90480522 has 64 divisors (see below), whose sum is σ = 209381760. Its totient is φ = 25804800.

The previous prime is 90480497. The next prime is 90480529. The reversal of 90480522 is 22508409.

It is a super-2 number, since 2×904805222 = 16373449722784968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90480522.

It is not an unprimeable number, because it can be changed into a prime (90480529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77898 + ... + 79050.

It is an arithmetic number, because the mean of its divisors is an integer number (3271590).

Almost surely, 290480522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90480522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104690880).

90480522 is an abundant number, since it is smaller than the sum of its proper divisors (118901238).

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

90480522 is a wasteful number, since it uses less digits than its factorization.

90480522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 90480522 is about 9512.1249991787. The cubic root of 90480522 is about 448.9366200057.

The spelling of 90480522 in words is "ninety million, four hundred eighty thousand, five hundred twenty-two".

Divisors: 1 2 3 6 11 22 29 33 41 58 66 82 87 123 174 246 319 451 638 902 957 1153 1189 1353 1914 2306 2378 2706 3459 3567 6918 7134 12683 13079 25366 26158 33437 38049 39237 47273 66874 76098 78474 94546 100311 141819 200622 283638 367807 520003 735614 1040006 1103421 1370917 1560009 2206842 2741834 3120018 4112751 8225502 15080087 30160174 45240261 90480522