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426161526 = 2372192331107
BaseRepresentation
bin11001011001101…
…011010101110110
31002200220020201020
4121121223111312
51333044132101
6110142042010
713363212300
oct3131532566
91080806636
10426161526
111a961450a
12ba879306
136a3a13ab
1440854970
1527630136
hex1966b576

426161526 has 192 divisors, whose sum is σ = 1134673920. Its totient is φ = 105779520.

The previous prime is 426161497. The next prime is 426161531. The reversal of 426161526 is 625161624.

It is a super-2 number, since 2×4261615262 = 363227292485297352, which contains 22 as substring.

Its product of digits (17280) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3982765 + ... + 3982871.

It is an arithmetic number, because the mean of its divisors is an integer number (5909760).

Almost surely, 2426161526 is an apocalyptic number.

426161526 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 426161526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567336960).

426161526 is an abundant number, since it is smaller than the sum of its proper divisors (708512394).

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

426161526 is a wasteful number, since it uses less digits than its factorization.

426161526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 192 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 426161526 is about 20643.6800498361. The cubic root of 426161526 is about 752.5316085515.

The spelling of 426161526 in words is "four hundred twenty-six million, one hundred sixty-one thousand, five hundred twenty-six".