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426024 = 23326197
BaseRepresentation
bin1101000000000101000
3210122101200
41220000220
5102113044
613044200
73423024
oct1500050
9718350
10426024
11271095
12186660
1311bbb1
14b1384
1586369
hex68028

426024 has 48 divisors (see below), whose sum is σ = 1184820. Its totient is φ = 138240.

The previous prime is 426011. The next prime is 426061. The reversal of 426024 is 420624.

426024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 381924 + 44100 = 618^2 + 210^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 4 + 215 + 0 + 62 + 217 + 49 .

It is a junction number, because it is equal to n+sod(n) for n = 425988 and 426006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4344 + ... + 4440.

2426024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592410).

426024 is an abundant number, since it is smaller than the sum of its proper divisors (758796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

426024 is a wasteful number, since it uses less digits than its factorization.

426024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 426024 is about 652.7051401667. The cubic root of 426024 is about 75.2450650362.

Adding to 426024 its reverse (420624), we get a palindrome (846648).

The spelling of 426024 in words is "four hundred twenty-six thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 97 122 183 194 244 291 366 388 488 549 582 732 776 873 1098 1164 1464 1746 2196 2328 3492 4392 5917 6984 11834 17751 23668 35502 47336 53253 71004 106506 142008 213012 426024