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416427 = 31112619
BaseRepresentation
bin1100101101010101011
3210011020020
41211222223
5101311202
612531523
73353034
oct1455253
9704206
10416427
11264960
12180ba3
1311770b
14aba8b
15835bc
hex65aab

416427 has 8 divisors (see below), whose sum is σ = 605760. Its totient is φ = 252360.

The previous prime is 416419. The next prime is 416441. The reversal of 416427 is 724614.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 416427 - 23 = 416419 is a prime.

It is a super-2 number, since 2×4164272 = 346822892658, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 416397 and 416406.

It is not an unprimeable number, because it can be changed into a prime (416407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6277 + ... + 6342.

It is an arithmetic number, because the mean of its divisors is an integer number (75720).

2416427 is an apocalyptic number.

416427 is a deficient number, since it is larger than the sum of its proper divisors (189333).

416427 is a wasteful number, since it uses less digits than its factorization.

416427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12633.

The product of its digits is 1344, while the sum is 24.

The square root of 416427 is about 645.3115526627. The cubic root of 416427 is about 74.6757557848.

The spelling of 416427 in words is "four hundred sixteen thousand, four hundred twenty-seven".

Divisors: 1 3 11 33 12619 37857 138809 416427