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426112848 = 243271921171
BaseRepresentation
bin11001011001011…
…111011101010000
31002200210202221100
4121121133131100
51333041102343
6110141024400
713362620340
oct3131373520
91080722840
10426112848
111a9590987
12ba855100
136a3851a5
1440840d20
15276209d3
hex1965f750

426112848 has 180 divisors, whose sum is σ = 1439619168. Its totient is φ = 115240320.

The previous prime is 426112847. The next prime is 426112849. The reversal of 426112848 is 848211624.

It is an interprime number because it is at equal distance from previous prime (426112847) and next prime (426112849).

It is a super-2 number, since 2×4261128482 = 363144318461342208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426112847) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 363303 + ... + 364473.

Almost surely, 2426112848 is an apocalyptic number.

426112848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426112848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719809584).

426112848 is an abundant number, since it is smaller than the sum of its proper divisors (1013506320).

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

426112848 is a wasteful number, since it uses less digits than its factorization.

426112848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1202 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 426112848 is about 20642.5010112631. The cubic root of 426112848 is about 752.5029549963.

The spelling of 426112848 in words is "four hundred twenty-six million, one hundred twelve thousand, eight hundred forty-eight".