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421949860 = 225174130269
BaseRepresentation
bin11001001001100…
…111000110100100
31002101222021101121
4121021213012210
51331004343420
6105511503324
713312341343
oct3111470644
91071867347
10421949860
111a71a81a2
12b9387b44
1369558397
1440079b5a
152709c2aa
hex192671a4

421949860 has 48 divisors (see below), whose sum is σ = 961133040. Its totient is φ = 154972160.

The previous prime is 421949851. The next prime is 421949861. The reversal of 421949860 is 68949124.

It can be written as a sum of positive squares in 8 ways, for example, as 304704 + 421645156 = 552^2 + 20534^2 .

It is not an unprimeable number, because it can be changed into a prime (421949861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1195 + ... + 29074.

It is an arithmetic number, because the mean of its divisors is an integer number (20023605).

Almost surely, 2421949860 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 421949860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480566520).

421949860 is an abundant number, since it is smaller than the sum of its proper divisors (539183180).

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

421949860 is a wasteful number, since it uses less digits than its factorization.

421949860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30336 (or 30334 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 421949860 is about 20541.4181594164. The cubic root of 421949860 is about 750.0443588578.

The spelling of 421949860 in words is "four hundred twenty-one million, nine hundred forty-nine thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 2788 3485 6970 13940 30269 60538 121076 151345 302690 514573 605380 1029146 1241029 2058292 2482058 2572865 4964116 5145730 6205145 10291460 12410290 21097493 24820580 42194986 84389972 105487465 210974930 421949860