Search a number
-
+
424794944 = 2678871069
BaseRepresentation
bin11001010100011…
…101101101000000
31002121022211010002
4121110131231000
51332221414234
6110052455132
713345461140
oct3124355500
91077284102
10424794944
111a8870802
12ba31a4a8
136a013372
14405ba920
152746027e
hex1951db40

424794944 has 56 divisors (see below), whose sum is σ = 965362560. Its totient is φ = 181679616.

The previous prime is 424794919. The next prime is 424794959. The reversal of 424794944 is 449497424.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 396842 + ... + 397910.

Almost surely, 2424794944 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 424794944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482681280).

424794944 is an abundant number, since it is smaller than the sum of its proper divisors (540567616).

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

424794944 is a wasteful number, since it uses less digits than its factorization.

424794944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1965 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 47.

The square root of 424794944 is about 20610.5541895409. The cubic root of 424794944 is about 751.7263603760.

The spelling of 424794944 in words is "four hundred twenty-four million, seven hundred ninety-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 887 1069 1774 2138 3548 4276 6209 7096 7483 8552 12418 14192 14966 17104 24836 28384 29932 34208 49672 56768 59864 68416 99344 119728 198688 239456 397376 478912 948203 1896406 3792812 6637421 7585624 13274842 15171248 26549684 30342496 53099368 60684992 106198736 212397472 424794944