Search a number
-
+
90324992 = 21437149
BaseRepresentation
bin1010110001001…
…00000000000000
320021221222121002
411120210000000
5141110344432
612543551132
72144515112
oct530440000
9207858532
1090324992
1146a9355a
12262bb4a8
1315936b54
14bdd33b2
157de2e62
hex5624000

90324992 has 60 divisors (see below), whose sum is σ = 186771900. Its totient is φ = 43646976.

The previous prime is 90324977. The next prime is 90325003. The reversal of 90324992 is 29942309.

It can be written as a sum of positive squares in 2 ways, for example, as 46022656 + 44302336 = 6784^2 + 6656^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 606134 + ... + 606282.

It is an arithmetic number, because the mean of its divisors is an integer number (3112865).

Almost surely, 290324992 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 90324992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93385950).

90324992 is an abundant number, since it is smaller than the sum of its proper divisors (96446908).

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

90324992 is an equidigital number, since it uses as much as digits as its factorization.

90324992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 90324992 is about 9503.9461277934. The cubic root of 90324992 is about 448.6792417461.

The spelling of 90324992 in words is "ninety million, three hundred twenty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 149 256 296 298 512 592 596 1024 1184 1192 2048 2368 2384 4096 4736 4768 5513 8192 9472 9536 11026 16384 18944 19072 22052 37888 38144 44104 75776 76288 88208 151552 152576 176416 303104 305152 352832 606208 610304 705664 1220608 1411328 2441216 2822656 5645312 11290624 22581248 45162496 90324992