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413017731 = 3372185279
BaseRepresentation
bin11000100111100…
…010011010000011
31001210011110211000
4120213202122003
51321213031411
6104552223043
713143410220
oct3047423203
91053143730
10413017731
111a2157375
12b639aa83
136774b8b9
143cbd2947
15263d5956
hex189e2683

413017731 has 16 divisors (see below), whose sum is σ = 699289600. Its totient is φ = 236010024.

The previous prime is 413017729. The next prime is 413017733. The reversal of 413017731 is 137710314.

It is an interprime number because it is at equal distance from previous prime (413017729) and next prime (413017733).

It is not a de Polignac number, because 413017731 - 21 = 413017729 is a prime.

It is a super-2 number, since 2×4130177312 = 341167292240776722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 413017695 and 413017704.

It is not an unprimeable number, because it can be changed into a prime (413017733) 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, 1092451 + ... + 1092828.

It is an arithmetic number, because the mean of its divisors is an integer number (43705600).

Almost surely, 2413017731 is an apocalyptic number.

413017731 is a deficient number, since it is larger than the sum of its proper divisors (286271869).

413017731 is a wasteful number, since it uses less digits than its factorization.

413017731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185295 (or 2185289 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 413017731 is about 20322.8376709553. The cubic root of 413017731 is about 744.7140809350.

The spelling of 413017731 in words is "four hundred thirteen million, seventeen thousand, seven hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 2185279 6555837 15296953 19667511 45890859 59002533 137672577 413017731