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426832 = 24737103
BaseRepresentation
bin1101000001101010000
3210200111121
41220031100
5102124312
613052024
73425260
oct1501520
9720447
10426832
1127175a
12187014
1311c383
14b17a0
1586707
hex68350

426832 has 40 divisors (see below), whose sum is σ = 980096. Its totient is φ = 176256.

The previous prime is 426799. The next prime is 426841. The reversal of 426832 is 238624.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 426797 and 426806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4093 + ... + 4195.

2426832 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 426832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490048).

426832 is an abundant number, since it is smaller than the sum of its proper divisors (553264).

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

426832 is a wasteful number, since it uses less digits than its factorization.

426832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 426832 is about 653.3238094544. The cubic root of 426832 is about 75.2926050937.

The spelling of 426832 in words is "four hundred twenty-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 103 112 148 206 259 296 412 518 592 721 824 1036 1442 1648 2072 2884 3811 4144 5768 7622 11536 15244 26677 30488 53354 60976 106708 213416 426832