Search a number
-
+
426286080 = 21032511292
BaseRepresentation
bin11001011010001…
…001110000000000
31002201010120120100
4121122021300000
51333112123310
6110144442400
713364241363
oct3132116000
91081116510
10426286080
111a969a050
12ba919400
136a415cac
14408880da
1527656ec0
hex19689c00

426286080 has 396 divisors, whose sum is σ = 1668829032. Its totient is φ = 99778560.

The previous prime is 426286073. The next prime is 426286087. The reversal of 426286080 is 80682624.

426286080 is a `hidden beast` number, since 4 + 26 + 28 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (426286073) and next prime (426286087).

It is a tau number, because it is divible by the number of its divisors (396).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426286087) 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, 14699506 + ... + 14699534.

Almost surely, 2426286080 is an apocalyptic number.

426286080 is a gapful number since it is divisible by the number (40) 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 426286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834414516).

426286080 is an abundant number, since it is smaller than the sum of its proper divisors (1242542952).

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

426286080 is a wasteful number, since it uses less digits than its factorization.

426286080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 426286080 is about 20646.6965880743. The cubic root of 426286080 is about 752.6049154130.

The spelling of 426286080 in words is "four hundred twenty-six million, two hundred eighty-six thousand, eighty".