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426933 = 32134189
BaseRepresentation
bin1101000001110110101
3210200122100
41220032311
5102130213
613052313
73425463
oct1501665
9720570
10426933
11271841
12187099
1311c430
14b1833
1586773
hex683b5

426933 has 24 divisors (see below), whose sum is σ = 687960. Its totient is φ = 253440.

The previous prime is 426931. The next prime is 426941. The reversal of 426933 is 339624.

It can be written as a sum of positive squares in 4 ways, for example, as 26244 + 400689 = 162^2 + 633^2 .

It is not a de Polignac number, because 426933 - 21 = 426931 is a prime.

It is a d-powerful number, because it can be written as 49 + 25 + 95 + 66 + 3 + 310 .

426933 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 426897 and 426906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426931) 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, 4753 + ... + 4841.

It is an arithmetic number, because the mean of its divisors is an integer number (28665).

2426933 is an apocalyptic number.

It is an amenable number.

426933 is a deficient number, since it is larger than the sum of its proper divisors (261027).

426933 is a wasteful number, since it uses less digits than its factorization.

426933 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 426933 is about 653.4011019274. The cubic root of 426933 is about 75.2985433812.

The spelling of 426933 in words is "four hundred twenty-six thousand, nine hundred thirty-three".

Divisors: 1 3 9 13 39 41 89 117 123 267 369 533 801 1157 1599 3471 3649 4797 10413 10947 32841 47437 142311 426933