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416423 = 71931101
BaseRepresentation
bin1100101101010100111
3210011020002
41211222213
5101311143
612531515
73353030
oct1455247
9704202
10416423
11264957
12180b9b
13117707
14aba87
15835b8
hex65aa7

416423 has 16 divisors (see below), whose sum is σ = 522240. Its totient is φ = 324000.

The previous prime is 416419. The next prime is 416441. The reversal of 416423 is 324614.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 416423 - 22 = 416419 is a prime.

It is a super-3 number, since 3×4164233 = 216633382329236901, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 416395 and 416404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416413) 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 15 ways as a sum of consecutive naturals, for example, 4073 + ... + 4173.

It is an arithmetic number, because the mean of its divisors is an integer number (32640).

2416423 is an apocalyptic number.

416423 is a deficient number, since it is larger than the sum of its proper divisors (105817).

416423 is a wasteful number, since it uses less digits than its factorization.

416423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158.

The product of its digits is 576, while the sum is 20.

The square root of 416423 is about 645.3084533771. The cubic root of 416423 is about 74.6755166841.

Subtracting from 416423 its reverse (324614), we obtain a square (91809 = 3032).

The spelling of 416423 in words is "four hundred sixteen thousand, four hundred twenty-three".

Divisors: 1 7 19 31 101 133 217 589 707 1919 3131 4123 13433 21917 59489 416423