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426085974 = 233534
BaseRepresentation
bin11001011001011…
…000111001010110
31002200202102002000
4121121120321112
51333034222344
6110140300130
713362446106
oct3131307126
91080672060
10426085974
111a9572776
12ba841646
136a375ba2
1440835206
1527617a69
hex19658e56

426085974 has 40 divisors (see below), whose sum is σ = 965066520. Its totient is φ = 139348872.

The previous prime is 426085949. The next prime is 426085991. The reversal of 426085974 is 479580624.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8039332 + ... + 8039384.

It is an arithmetic number, because the mean of its divisors is an integer number (24126663).

Almost surely, 2426085974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426085974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482533260).

426085974 is an abundant number, since it is smaller than the sum of its proper divisors (538980546).

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

426085974 is an frugal number, since it uses more digits than its factorization.

426085974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 426085974 is about 20641.8500624338. The cubic root of 426085974 is about 752.4871350950.

The spelling of 426085974 in words is "four hundred twenty-six million, eighty-five thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 954 1431 2809 2862 5618 8427 16854 25281 50562 75843 148877 151686 297754 446631 893262 1339893 2679786 4019679 7890481 8039358 15780962 23671443 47342886 71014329 142028658 213042987 426085974