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290566116 = 22349472
BaseRepresentation
bin10001010100011…
…010111111100100
3202020202021210000
4101110122333210
51043341103431
644455501300
710125525351
oct2124327744
9666667700
10290566116
1113a020695
1281387830
1348276b19
142a839628
151a7989e6
hex1151afe4

290566116 has 45 divisors (see below), whose sum is σ = 760400179. Its totient is φ = 96753096.

The previous prime is 290566037. The next prime is 290566127. The reversal of 290566116 is 611665092.

The square root of 290566116 is 17046.

It is a perfect power (a square), and thus also a powerful number.

290566116 is a `hidden beast` number, since 2 + 90 + 566 + 1 + 1 + 6 = 666.

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

It is a Duffinian number.

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 306355 + ... + 307301.

Almost surely, 2290566116 is an apocalyptic number.

290566116 is the 17046-th square number.

It is an amenable number.

290566116 is an abundant number, since it is smaller than the sum of its proper divisors (469834063).

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

290566116 is an frugal number, since it uses more digits than its factorization.

290566116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The cubic root of 290566116 is about 662.3410253891.

Multiplying 290566116 by its sum of digits (36), we get a square (10460380176 = 1022762).

290566116 divided by its sum of digits (36) gives a square (8071281 = 28412).

The spelling of 290566116 in words is "two hundred ninety million, five hundred sixty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 947 1894 2841 3788 5682 8523 11364 17046 25569 34092 51138 76707 102276 153414 306828 896809 1793618 2690427 3587236 5380854 8071281 10761708 16142562 24213843 32285124 48427686 72641529 96855372 145283058 290566116