Search a number
-
+
426104640 = 263251319599
BaseRepresentation
bin11001011001011…
…101011101000000
31002200210100200100
4121121131131000
51333040322030
6110140522400
713362554403
oct3131353500
91080710610
10426104640
111a95857a5
12ba850400
136a381530
144083bd3a
152761d360
hex1965d740

426104640 has 336 divisors, whose sum is σ = 1664208000. Its totient is φ = 99201024.

The previous prime is 426104611. The next prime is 426104663. The reversal of 426104640 is 46401624.

426104640 is a `hidden beast` number, since 4 + 2 + 6 + 10 + 4 + 640 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711061 + ... + 711659.

It is an arithmetic number, because the mean of its divisors is an integer number (4953000).

Almost surely, 2426104640 is an apocalyptic number.

426104640 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 426104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832104000).

426104640 is an abundant number, since it is smaller than the sum of its proper divisors (1238103360).

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

426104640 is a wasteful number, since it uses less digits than its factorization.

426104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 426104640 is about 20642.3021971872. The cubic root of 426104640 is about 752.4981232684.

The spelling of 426104640 in words is "four hundred twenty-six million, one hundred four thousand, six hundred forty".