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90482912 = 25131991093
BaseRepresentation
bin1010110010010…
…10100011100000
320022021000012222
411121022203200
5141130423122
612551210212
72146043402
oct531124340
9208230188
1090482912
1147091173
1226376968
13159909b0
14c034b72
157e24b42
hex564a8e0

90482912 has 48 divisors (see below), whose sum is σ = 192981600. Its totient is φ = 41513472.

The previous prime is 90482869. The next prime is 90482923. The reversal of 90482912 is 21928409.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82238 + ... + 83330.

It is an arithmetic number, because the mean of its divisors is an integer number (4020450).

Almost surely, 290482912 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 90482912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96490800).

90482912 is an abundant number, since it is smaller than the sum of its proper divisors (102498688).

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

90482912 is a wasteful number, since it uses less digits than its factorization.

90482912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 90482912 is about 9512.2506274803. The cubic root of 90482912 is about 448.9405727868.

The spelling of 90482912 in words is "ninety million, four hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 199 208 398 416 796 1093 1592 2186 2587 3184 4372 5174 6368 8744 10348 14209 17488 20696 28418 34976 41392 56836 82784 113672 217507 227344 435014 454688 870028 1740056 2827591 3480112 5655182 6960224 11310364 22620728 45241456 90482912