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424076466 = 2311193110909
BaseRepresentation
bin11001010001101…
…110010010110010
31002112222022112210
4121101232102302
51332030421331
6110025232550
713336406352
oct3121562262
91075868483
10424076466
111a841aa20
12ba032756
1369b21328
1440470b62
152736c446
hex1946e4b2

424076466 has 64 divisors (see below), whose sum is σ = 1005465600. Its totient is φ = 117806400.

The previous prime is 424076431. The next prime is 424076467. The reversal of 424076466 is 664670424.

It is not an unprimeable number, because it can be changed into a prime (424076467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33420 + ... + 44328.

It is an arithmetic number, because the mean of its divisors is an integer number (15710400).

Almost surely, 2424076466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424076466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502732800).

424076466 is an abundant number, since it is smaller than the sum of its proper divisors (581389134).

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

424076466 is a wasteful number, since it uses less digits than its factorization.

424076466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10975.

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 424076466 is about 20593.1169568863. The cubic root of 424076466 is about 751.3023097879.

The spelling of 424076466 in words is "four hundred twenty-four million, seventy-six thousand, four hundred sixty-six".

Divisors: 1 2 3 6 11 19 22 31 33 38 57 62 66 93 114 186 209 341 418 589 627 682 1023 1178 1254 1767 2046 3534 6479 10909 12958 19437 21818 32727 38874 65454 119999 207271 239998 338179 359997 414542 621813 676358 719994 1014537 1243626 2029074 2279981 3719969 4559962 6425401 6839943 7439938 11159907 12850802 13679886 19276203 22319814 38552406 70679411 141358822 212038233 424076466