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421421824 = 2819233767
BaseRepresentation
bin11001000111100…
…110001100000000
31002100222110001201
4121013212030000
51330340444244
6105452310544
713305012025
oct3107461400
91070873051
10421421824
111a69774aa
12b9172454
1369401c35
143dd7d54c
1526ee5ad4
hex191e6300

421421824 has 72 divisors (see below), whose sum is σ = 924215040. Its totient is φ = 190891008.

The previous prime is 421421813. The next prime is 421421831. The reversal of 421421824 is 428124124.

Adding to 421421824 its reverse (428124124), we get a palindrome (849545948).

421421824 = T16760 + T16761 + T16762.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 421421792 and 421421801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109989 + ... + 113755.

It is an arithmetic number, because the mean of its divisors is an integer number (12836320).

Almost surely, 2421421824 is an apocalyptic number.

421421824 is the 16762-nd centered triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421421824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462107520).

421421824 is an abundant number, since it is smaller than the sum of its proper divisors (502793216).

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

421421824 is a wasteful number, since it uses less digits than its factorization.

421421824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825 (or 3811 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

The square root of 421421824 is about 20528.5611770528. The cubic root of 421421824 is about 749.7313550439.

The spelling of 421421824 in words is "four hundred twenty-one million, four hundred twenty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 256 304 368 437 608 736 874 1216 1472 1748 2432 2944 3496 3767 4864 5888 6992 7534 13984 15068 27968 30136 55936 60272 71573 86641 111872 120544 143146 173282 241088 286292 346564 482176 572584 693128 964352 1145168 1386256 1646179 2290336 2772512 3292358 4580672 5545024 6584716 9161344 11090048 13169432 18322688 22180096 26338864 52677728 105355456 210710912 421421824