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412416081 = 32711595117
BaseRepresentation
bin11000100101001…
…111100001010001
31001202000220111200
4120211033201101
51321034303311
6104531301413
713135323150
oct3045174121
91052026450
10412416081
111a1886340
12b614a869
136759aaac
143cab7597
1526317556
hex1894f851

412416081 has 24 divisors (see below), whose sum is σ = 742707264. Its totient is φ = 214241760.

The previous prime is 412416061. The next prime is 412416119. The reversal of 412416081 is 180614214.

It is a happy number.

412416081 is a `hidden beast` number, since 4 + 12 + 41 + 608 + 1 = 666.

It is not a de Polignac number, because 412416081 - 210 = 412415057 is a prime.

It is a super-2 number, since 2×4124160812 = 340174047734797122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (412416031) 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, 296866 + ... + 298251.

It is an arithmetic number, because the mean of its divisors is an integer number (30946136).

Almost surely, 2412416081 is an apocalyptic number.

It is an amenable number.

412416081 is a deficient number, since it is larger than the sum of its proper divisors (330291183).

412416081 is a wasteful number, since it uses less digits than its factorization.

412416081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595141 (or 595138 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 412416081 is about 20308.0299635391. The cubic root of 412416081 is about 744.3522926197.

The spelling of 412416081 in words is "four hundred twelve million, four hundred sixteen thousand, eighty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 595117 1785351 4165819 5356053 6546287 12497457 19638861 37492371 45824009 58916583 137472027 412416081