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290492928 = 2932112521
BaseRepresentation
bin10001010100001…
…001001000000000
3202020121120101100
4101110021020000
51043331233203
644454134400
710125102105
oct2124111000
9666546340
10290492928
11139a80700
1281351400
134824c70b
142a81aaac
151a781ea3
hex11509200

290492928 has 180 divisors, whose sum is σ = 923296374. Its totient is φ = 87859200.

The previous prime is 290492897. The next prime is 290492929. The reversal of 290492928 is 829294092.

It can be written as a sum of positive squares in only one way, i.e., 267911424 + 22581504 = 16368^2 + 4752^2 .

It is a super-2 number, since 2×2904929282 = 168772282436026368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (290492929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 557308 + ... + 557828.

Almost surely, 2290492928 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 290492928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461648187).

290492928 is an abundant number, since it is smaller than the sum of its proper divisors (632803446).

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

290492928 is a wasteful number, since it uses less digits than its factorization.

290492928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 290492928 is about 17043.8530854968. The cubic root of 290492928 is about 662.2854104099.

The spelling of 290492928 in words is "two hundred ninety million, four hundred ninety-two thousand, nine hundred twenty-eight".