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408023 = 7211757
BaseRepresentation
bin1100011100111010111
3202201200222
41203213113
5101024043
612424555
73316400
oct1434727
9681628
10408023
11259610
1217815b
13113945
14a89a7
1580d68
hex639d7

408023 has 12 divisors (see below), whose sum is σ = 518472. Its totient is φ = 317520.

The previous prime is 408019. The next prime is 408041. The reversal of 408023 is 320804.

It is not a de Polignac number, because 408023 - 22 = 408019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 407992 and 408010.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 408023.

It is not an unprimeable number, because it can be changed into a prime (408223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161 + ... + 917.

It is an arithmetic number, because the mean of its divisors is an integer number (43206).

2408023 is an apocalyptic number.

408023 is a deficient number, since it is larger than the sum of its proper divisors (110449).

408023 is a wasteful number, since it uses less digits than its factorization.

408023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 408023 is about 638.7667806015. The cubic root of 408023 is about 74.1699890501.

Adding to 408023 its reverse (320804), we get a palindrome (728827).

The spelling of 408023 in words is "four hundred eight thousand, twenty-three".

Divisors: 1 7 11 49 77 539 757 5299 8327 37093 58289 408023