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290707092 = 2232132572417
BaseRepresentation
bin10001010100111…
…101011010010100
3202021000110011100
4101110331122110
51043410111332
644502510100
710126653354
oct2124753224
9667013140
10290707092
1113a1075a5
1281435330
13482c6040
142a874b64
151a7c567c
hex1153d694

290707092 has 72 divisors (see below), whose sum is σ = 794777256. Its totient is φ = 89063424.

The previous prime is 290707073. The next prime is 290707093.

290707092 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 160883856 + 129823236 = 12684^2 + 11394^2 .

It is a super-2 number, since 2×2907070922 = 169021226678192928, which contains 22 as substring.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290707093) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119068 + ... + 121484.

It is an arithmetic number, because the mean of its divisors is an integer number (11038573).

Almost surely, 2290707092 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 290707092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397388628).

290707092 is an abundant number, since it is smaller than the sum of its proper divisors (504070164).

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

290707092 is a wasteful number, since it uses less digits than its factorization.

290707092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 290707092 is about 17050.1346622248. The cubic root of 290707092 is about 662.4481256167.

The spelling of 290707092 in words is "two hundred ninety million, seven hundred seven thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 257 468 514 771 1028 1542 2313 2417 3084 3341 4626 4834 6682 7251 9252 9668 10023 13364 14502 20046 21753 29004 30069 31421 40092 43506 60138 62842 87012 94263 120276 125684 188526 282789 377052 565578 621169 1131156 1242338 1863507 2484676 3727014 5590521 7454028 8075197 11181042 16150394 22362084 24225591 32300788 48451182 72676773 96902364 145353546 290707092