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290482416 = 2433796059
BaseRepresentation
bin10001010100000…
…110100011110000
3202020121000222000
4101110012203300
51043330414131
644454014000
710125026340
oct2124064360
9666530860
10290482416
11139a73814
1281347300
13482479b3
142a816d20
151a77dce6
hex115068f0

290482416 has 80 divisors (see below), whose sum is σ = 952915200. Its totient is φ = 82994112.

The previous prime is 290482411. The next prime is 290482457. The reversal of 290482416 is 614284092.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290482411) 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 15 ways as a sum of consecutive naturals, for example, 45006 + ... + 51053.

It is an arithmetic number, because the mean of its divisors is an integer number (11911440).

Almost surely, 2290482416 is an apocalyptic number.

It is an amenable number.

290482416 is an abundant number, since it is smaller than the sum of its proper divisors (662432784).

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

290482416 is a wasteful number, since it uses less digits than its factorization.

290482416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96083 (or 96071 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 290482416 is about 17043.5447017339. The cubic root of 290482416 is about 662.2774216575.

The spelling of 290482416 in words is "two hundred ninety million, four hundred eighty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 96059 192118 288177 384236 576354 672413 768472 864531 1152708 1344826 1536944 1729062 2017239 2305416 2593593 2689652 3458124 4034478 4610832 5187186 5379304 6051717 6916248 8068956 10374372 10758608 12103434 13832496 16137912 18155151 20748744 24206868 32275824 36310302 41497488 48413736 72620604 96827472 145241208 290482416