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426096 = 243211269
BaseRepresentation
bin1101000000001110000
3210122111100
41220001300
5102113341
613044400
73423156
oct1500160
9718440
10426096
11271150
12186700
1311bc38
14b13d6
15863b6
hex68070

426096 has 60 divisors (see below), whose sum is σ = 1305720. Its totient is φ = 128640.

The previous prime is 426091. The next prime is 426103. The reversal of 426096 is 690624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426091) by changing a digit.

426096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1450 + ... + 1718.

It is an arithmetic number, because the mean of its divisors is an integer number (21762).

2426096 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 426096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652860).

426096 is an abundant number, since it is smaller than the sum of its proper divisors (879624).

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

426096 is a wasteful number, since it uses less digits than its factorization.

426096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 426096 is about 652.7602929100. The cubic root of 426096 is about 75.2493037172.

It can be divided in two parts, 4260 and 96, that added together give a square (4356 = 662).

The spelling of 426096 in words is "four hundred twenty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 269 396 528 538 792 807 1076 1584 1614 2152 2421 2959 3228 4304 4842 5918 6456 8877 9684 11836 12912 17754 19368 23672 26631 35508 38736 47344 53262 71016 106524 142032 213048 426096