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426072 = 23341433
BaseRepresentation
bin1101000000001011000
3210122110110
41220001120
5102113242
613044320
73423123
oct1500130
9718413
10426072
11271129
121866a0
1311bc1a
14b13ba
158639c
hex68058

426072 has 32 divisors (see below), whose sum is σ = 1093680. Its totient is φ = 138240.

The previous prime is 426061. The next prime is 426073. The reversal of 426072 is 270624.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426073) by changing a digit.

426072 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 7 ways as a sum of consecutive naturals, for example, 768 + ... + 1200.

2426072 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 426072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546840).

426072 is an abundant number, since it is smaller than the sum of its proper divisors (667608).

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

426072 is a wasteful number, since it uses less digits than its factorization.

426072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 426072 is about 652.7419091800. The cubic root of 426072 is about 75.2478908766.

Adding to 426072 its reverse (270624), we get a palindrome (696696).

The spelling of 426072 in words is "four hundred twenty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 433 492 866 984 1299 1732 2598 3464 5196 10392 17753 35506 53259 71012 106518 142024 213036 426072