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421043424 = 253371131049
BaseRepresentation
bin11001000110001…
…001110011100000
31002100021012222220
4121012021303200
51330241342144
6105440231040
713301544564
oct3106116340
91070235886
10421043424
111a673917a
12b900b480
13692cb929
143dcc16a4
1526e6d919
hex19189ce0

421043424 has 96 divisors (see below), whose sum is σ = 1146247200. Its totient is φ = 135217152.

The previous prime is 421043407. The next prime is 421043429. The reversal of 421043424 is 424340124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 421043394 and 421043403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421043429) 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, 400852 + ... + 401900.

It is an arithmetic number, because the mean of its divisors is an integer number (11940075).

Almost surely, 2421043424 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 421043424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573123600).

421043424 is an abundant number, since it is smaller than the sum of its proper divisors (725203776).

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

421043424 is a wasteful number, since it uses less digits than its factorization.

421043424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 421043424 is about 20519.3426795305. The cubic root of 421043424 is about 749.5068900834.

Adding to 421043424 its reverse (424340124), we get a palindrome (845383548).

The spelling of 421043424 in words is "four hundred twenty-one million, forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 113 148 222 226 296 339 444 452 592 678 888 904 1049 1184 1356 1776 1808 2098 2712 3147 3552 3616 4181 4196 5424 6294 8362 8392 10848 12543 12588 16724 16784 25086 25176 33448 33568 38813 50172 50352 66896 77626 100344 100704 116439 118537 133792 155252 200688 232878 237074 310504 355611 401376 465756 474148 621008 711222 931512 948296 1242016 1422444 1863024 1896592 2844888 3726048 3793184 4385869 5689776 8771738 11379552 13157607 17543476 26315214 35086952 52630428 70173904 105260856 140347808 210521712 421043424