Search a number
-
+
424583264 = 25715712073
BaseRepresentation
bin11001010011101…
…010000001100000
31002120221001202002
4121103222001200
51332143131024
6110044143132
713343620040
oct3123520140
91076831662
10424583264
111a8736766
12ba237aa8
1369c6ac01
1440563720
152741c6ae
hex194ea060

424583264 has 48 divisors (see below), whose sum is σ = 961476768. Its totient is φ = 180790272.

The previous prime is 424583239. The next prime is 424583281. The reversal of 424583264 is 462385424.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29132 + ... + 41204.

It is an arithmetic number, because the mean of its divisors is an integer number (20030766).

Almost surely, 2424583264 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 424583264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480738384).

424583264 is an abundant number, since it is smaller than the sum of its proper divisors (536893504).

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

424583264 is a wasteful number, since it uses less digits than its factorization.

424583264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12247 (or 12239 counting only the distinct ones).

The product of its digits is 184320, while the sum is 38.

The square root of 424583264 is about 20605.4183165497. The cubic root of 424583264 is about 751.6014751211.

The spelling of 424583264 in words is "four hundred twenty-four million, five hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 157 224 314 628 1099 1256 2198 2512 4396 5024 8792 12073 17584 24146 35168 48292 84511 96584 169022 193168 338044 386336 676088 1352176 1895461 2704352 3790922 7581844 13268227 15163688 26536454 30327376 53072908 60654752 106145816 212291632 424583264