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290516268 = 22378341669
BaseRepresentation
bin10001010100001…
…110110100101100
3202020122202101210
4101110032310230
51043333010033
644454434420
710125230130
oct2124166454
9666582353
10290516268
11139a97199
1281362a10
134825a223
142a8253c0
151a788d63
hex1150ed2c

290516268 has 48 divisors (see below), whose sum is σ = 784062720. Its totient is φ = 82002624.

The previous prime is 290516257. The next prime is 290516269. The reversal of 290516268 is 862615092.

It is not an unprimeable number, because it can be changed into a prime (290516269) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13863 + ... + 27806.

It is an arithmetic number, because the mean of its divisors is an integer number (16334640).

Almost surely, 2290516268 is an apocalyptic number.

290516268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

290516268 is an abundant number, since it is smaller than the sum of its proper divisors (493546452).

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

290516268 is a wasteful number, since it uses less digits than its factorization.

290516268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41766 (or 41764 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 290516268 is about 17044.5377760736. The cubic root of 290516268 is about 662.3031473047.

The spelling of 290516268 in words is "two hundred ninety million, five hundred sixteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 332 498 581 996 1162 1743 2324 3486 6972 41669 83338 125007 166676 250014 291683 500028 583366 875049 1166732 1750098 3458527 3500196 6917054 10375581 13834108 20751162 24209689 41502324 48419378 72629067 96838756 145258134 290516268