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412790290 = 25112973517
BaseRepresentation
bin11000100110101…
…010111000010010
31001202201220211021
4120212222320102
51321133242130
6104543310054
713141442143
oct3046527022
91052656737
10412790290
111a2011500
12b62ab32a
136769c213
143cb73aca
152638d37a
hex189aae12

412790290 has 48 divisors (see below), whose sum is σ = 825365016. Its totient is φ = 148515840.

The previous prime is 412790281. The next prime is 412790299. The reversal of 412790290 is 92097214.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (412790281) and next prime (412790299).

It can be written as a sum of positive squares in 4 ways, for example, as 396846241 + 15944049 = 19921^2 + 3993^2 .

It is not an unprimeable number, because it can be changed into a prime (412790299) 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 23 ways as a sum of consecutive naturals, for example, 115612 + ... + 119128.

Almost surely, 2412790290 is an apocalyptic number.

412790290 is a deficient number, since it is larger than the sum of its proper divisors (412574726).

412790290 is a wasteful number, since it uses less digits than its factorization.

412790290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3632 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 412790290 is about 20317.2412005174. The cubic root of 412790290 is about 744.5773558799.

The spelling of 412790290 in words is "four hundred twelve million, seven hundred ninety thousand, two hundred ninety".

Divisors: 1 2 5 10 11 22 55 97 110 121 194 242 485 605 970 1067 1210 2134 3517 5335 7034 10670 11737 17585 23474 35170 38687 58685 77374 117370 193435 341149 386870 425557 682298 851114 1705745 2127785 3411490 3752639 4255570 7505278 18763195 37526390 41279029 82558058 206395145 412790290