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424666424 = 23713599887
BaseRepresentation
bin11001010011111…
…110010100111000
31002121002021211002
4121103332110320
51332203311144
6110050024132
713344414350
oct3123762470
91077067732
10424666424
111a8793196
12ba278048
1369c99a10
1440585b60
152743714e
hex194fe538

424666424 has 64 divisors (see below), whose sum is σ = 996710400. Its totient is φ = 165135744.

The previous prime is 424666423. The next prime is 424666439.

424666424 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 (424666423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38009 + ... + 47895.

It is an arithmetic number, because the mean of its divisors is an integer number (15573600).

Almost surely, 2424666424 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 424666424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498355200).

424666424 is an abundant number, since it is smaller than the sum of its proper divisors (572043976).

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

424666424 is a wasteful number, since it uses less digits than its factorization.

424666424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9972 (or 9968 counting only the distinct ones).

The product of its digits is 221184, while the sum is 38.

The square root of 424666424 is about 20607.4361335902. The cubic root of 424666424 is about 751.6505421348.

The spelling of 424666424 in words is "four hundred twenty-four million, six hundred sixty-six thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 59 91 104 118 182 236 364 413 472 728 767 826 1534 1652 3068 3304 5369 6136 9887 10738 19774 21476 39548 42952 69209 79096 128531 138418 257062 276836 514124 553672 583333 899717 1028248 1166666 1799434 2333332 3598868 4083331 4666664 7197736 7583329 8166662 15166658 16333324 30333316 32666648 53083303 60666632 106166606 212333212 424666424