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426464444 = 22723795741
BaseRepresentation
bin11001011010110…
…101010010111100
31002201110122020102
4121122311102330
51333133330234
6110152340232
713365613400
oct3132652274
91081418212
10426464444
111a980105a
12ba9a4678
136a479233
14408d3100
152768ec7e
hex196b54bc

426464444 has 36 divisors (see below), whose sum is σ = 870602040. Its totient is φ = 182256480.

The previous prime is 426464429. The next prime is 426464453. The reversal of 426464444 is 444464624.

It is a junction number, because it is equal to n+sod(n) for n = 426464398 and 426464407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71414 + ... + 77154.

It is an arithmetic number, because the mean of its divisors is an integer number (24183390).

Almost surely, 2426464444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426464444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435301020).

426464444 is an abundant number, since it is smaller than the sum of its proper divisors (444137596).

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

426464444 is a wasteful number, since it uses less digits than its factorization.

426464444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6138 (or 6129 counting only the distinct ones).

The product of its digits is 294912, while the sum is 38.

The square root of 426464444 is about 20651.0155682475. The cubic root of 426464444 is about 752.7098675500.

The spelling of 426464444 in words is "four hundred twenty-six million, four hundred sixty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 379 758 1516 2653 5306 5741 10612 11482 18571 22964 37142 40187 74284 80374 160748 281309 562618 1125236 2175839 4351678 8703356 15230873 30461746 60923492 106616111 213232222 426464444