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426188 = 22731491
BaseRepresentation
bin1101000000011001100
3210122121202
41220003030
5102114223
613045032
73423350
oct1500314
9718552
10426188
11271224
12186778
1311bca9
14b1460
1586428
hex680cc

426188 has 24 divisors (see below), whose sum is σ = 881664. Its totient is φ = 176400.

The previous prime is 426163. The next prime is 426193. The reversal of 426188 is 881624.

It is a super-2 number, since 2×4261882 = 363272422688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 426188.

It is an unprimeable number.

426188 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 623 + ... + 1113.

It is an arithmetic number, because the mean of its divisors is an integer number (36736).

2426188 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 426188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440832).

426188 is an abundant number, since it is smaller than the sum of its proper divisors (455476).

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

426188 is a wasteful number, since it uses less digits than its factorization.

426188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 531 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 426188 is about 652.8307590793. The cubic root of 426188 is about 75.2547191148.

The spelling of 426188 in words is "four hundred twenty-six thousand, one hundred eighty-eight".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 491 868 982 1964 3437 6874 13748 15221 30442 60884 106547 213094 426188