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424787424 = 253792709
BaseRepresentation
bin11001010100011…
…011110111100000
31002121022102210120
4121110123313200
51332221144144
6110052400240
713345430205
oct3124336740
91077272716
10424787424
111a8866096
12ba316080
136a00cb09
14405b7cac
152745ce19
hex1951bde0

424787424 has 72 divisors (see below), whose sum is σ = 1130953320. Its totient is φ = 139606272.

The previous prime is 424787423. The next prime is 424787501.

424787424 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424787423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 598782 + ... + 599490.

It is an arithmetic number, because the mean of its divisors is an integer number (15707685).

Almost surely, 2424787424 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 424787424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565476660).

424787424 is an abundant number, since it is smaller than the sum of its proper divisors (706165896).

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

424787424 is an equidigital number, since it uses as much as digits as its factorization.

424787424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 793 counting only the distinct ones).

The product of its digits is 401408, while the sum is 42.

The square root of 424787424 is about 20610.3717579281. The cubic root of 424787424 is about 751.7219244981.

The spelling of 424787424 in words is "four hundred twenty-four million, seven hundred eighty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 709 948 1264 1418 1896 2127 2528 2836 3792 4254 5672 6241 7584 8508 11344 12482 17016 18723 22688 24964 34032 37446 49928 56011 68064 74892 99856 112022 149784 168033 199712 224044 299568 336066 448088 599136 672132 896176 1344264 1792352 2688528 4424869 5377056 8849738 13274607 17699476 26549214 35398952 53098428 70797904 106196856 141595808 212393712 424787424