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290495392 = 25111018171
BaseRepresentation
bin10001010100001…
…001101110100000
3202020121200202121
4101110021232200
51043331323032
644454154024
710125112225
oct2124115640
9666550677
10290495392
11139a82540
1281352914
1348250885
142a81b94c
151a782a97
hex11509ba0

290495392 has 48 divisors (see below), whose sum is σ = 630159264. Its totient is φ = 130720000.

The previous prime is 290495383. The next prime is 290495393. The reversal of 290495392 is 293594092.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (290495393) by changing a digit.

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, 31467 + ... + 39637.

It is an arithmetic number, because the mean of its divisors is an integer number (13128318).

Almost surely, 2290495392 is an apocalyptic number.

290495392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290495392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315079632).

290495392 is an abundant number, since it is smaller than the sum of its proper divisors (339663872).

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

290495392 is a wasteful number, since it uses less digits than its factorization.

290495392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8293 (or 8285 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The square root of 290495392 is about 17043.9253694681. The cubic root of 290495392 is about 662.2872829358.

The spelling of 290495392 in words is "two hundred ninety million, four hundred ninety-five thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 176 202 352 404 808 1111 1616 2222 3232 4444 8171 8888 16342 17776 32684 35552 65368 89881 130736 179762 261472 359524 719048 825271 1438096 1650542 2876192 3301084 6602168 9077981 13204336 18155962 26408672 36311924 72623848 145247696 290495392