Search a number
-
+
431245024 = 2574014801
BaseRepresentation
bin11001101101000…
…100011011100000
31010001110111221221
4121231010123200
51340344320044
6110443024424
713454344060
oct3155043340
91101414857
10431245024
11201476851
1210050b114
136b461192
14413b93a0
1527cd6484
hex19b446e0

431245024 has 48 divisors (see below), whose sum is σ = 972923616. Its totient is φ = 184320000.

The previous prime is 431245019. The next prime is 431245037. The reversal of 431245024 is 420542134.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 431245024.

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, 87424 + ... + 92224.

It is an arithmetic number, because the mean of its divisors is an integer number (20269242).

Almost surely, 2431245024 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 431245024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486461808).

431245024 is an abundant number, since it is smaller than the sum of its proper divisors (541678592).

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

431245024 is a wasteful number, since it uses less digits than its factorization.

431245024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5219 (or 5211 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 431245024 is about 20766.4398489486. The cubic root of 431245024 is about 755.5119980785.

Adding to 431245024 its reverse (420542134), we get a palindrome (851787158).

The spelling of 431245024 in words is "four hundred thirty-one million, two hundred forty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 401 802 1604 2807 3208 4801 5614 6416 9602 11228 12832 19204 22456 33607 38408 44912 67214 76816 89824 134428 153632 268856 537712 1075424 1925201 3850402 7700804 13476407 15401608 26952814 30803216 53905628 61606432 107811256 215622512 431245024