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90324648 = 23321379157
BaseRepresentation
bin1010110001000…
…11111010101000
320021221222010100
411120203322220
5141110342043
612543545400
72144514111
oct530437250
9207858110
1090324648
1146a93277
12262bb260
131593694b
14bdd3208
157de2cd3
hex5623ea8

90324648 has 48 divisors (see below), whose sum is σ = 246441780. Its totient is φ = 29885184.

The previous prime is 90324617. The next prime is 90324673. The reversal of 90324648 is 84642309.

It is a happy number.

90324648 is a `hidden beast` number, since 9 + 0 + 3 + 2 + 4 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87946884 + 2377764 = 9378^2 + 1542^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5286 + ... + 14442.

Almost surely, 290324648 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 90324648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123220890).

90324648 is an abundant number, since it is smaller than the sum of its proper divisors (156117132).

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

90324648 is a wasteful number, since it uses less digits than its factorization.

90324648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9306 (or 9299 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 90324648 is about 9503.9280300305. The cubic root of 90324648 is about 448.6786721516.

The spelling of 90324648 in words is "ninety million, three hundred twenty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1096 1233 1644 2466 3288 4932 9157 9864 18314 27471 36628 54942 73256 82413 109884 164826 219768 329652 659304 1254509 2509018 3763527 5018036 7527054 10036072 11290581 15054108 22581162 30108216 45162324 90324648