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426393 = 32115973
BaseRepresentation
bin1101000000110011001
3210122220100
41220012121
5102121033
613050013
73424062
oct1500631
9718810
10426393
112713a0
12186909
1311c106
14b1569
1586513
hex68199

426393 has 24 divisors (see below), whose sum is σ = 692640. Its totient is φ = 250560.

The previous prime is 426389. The next prime is 426401. The reversal of 426393 is 393624.

It is not a de Polignac number, because 426393 - 22 = 426389 is a prime.

It is a d-powerful number, because it can be written as 48 + 2 + 37 + 67 + 95 + 39 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5805 + ... + 5877.

It is an arithmetic number, because the mean of its divisors is an integer number (28860).

2426393 is an apocalyptic number.

It is an amenable number.

426393 is a deficient number, since it is larger than the sum of its proper divisors (266247).

426393 is a wasteful number, since it uses less digits than its factorization.

426393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 146 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 426393 is about 652.9877487365. The cubic root of 426393 is about 75.2667832309.

It can be divided in two parts, 4263 and 93, that added together give a square (4356 = 662).

The spelling of 426393 in words is "four hundred twenty-six thousand, three hundred ninety-three".

Divisors: 1 3 9 11 33 59 73 99 177 219 531 649 657 803 1947 2409 4307 5841 7227 12921 38763 47377 142131 426393