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421821936 = 243229831217
BaseRepresentation
bin11001001001000…
…111110111110000
31002101201202220200
4121021013313300
51330441300221
6105505035200
713311266364
oct3111076760
91071652820
10421821936
111a7120078
12b9325b00
13695120a3
14400452a4
1527074426
hex19247df0

421821936 has 120 divisors (see below), whose sum is σ = 1236952080. Its totient is φ = 134012928.

The previous prime is 421821931. The next prime is 421821937. The reversal of 421821936 is 639128124.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 421821936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421821931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346000 + ... + 347216.

It is an arithmetic number, because the mean of its divisors is an integer number (10307934).

Almost surely, 2421821936 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 421821936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618476040).

421821936 is an abundant number, since it is smaller than the sum of its proper divisors (815130144).

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

421821936 is a wasteful number, since it uses less digits than its factorization.

421821936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1334 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 421821936 is about 20538.3041169421. The cubic root of 421821936 is about 749.9685533482.

The spelling of 421821936 in words is "four hundred twenty-one million, eight hundred twenty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 83 87 116 144 166 174 232 249 261 332 348 464 498 522 664 696 747 996 1044 1217 1328 1392 1494 1992 2088 2407 2434 2988 3651 3984 4176 4814 4868 5976 7221 7302 9628 9736 10953 11952 14442 14604 19256 19472 21663 21906 28884 29208 35293 38512 43326 43812 57768 58416 70586 86652 87624 101011 105879 115536 141172 173304 175248 202022 211758 282344 303033 317637 346608 404044 423516 564688 606066 635274 808088 847032 909099 1212132 1270548 1616176 1694064 1818198 2424264 2541096 2929319 3636396 4848528 5082192 5858638 7272792 8787957 11717276 14545584 17575914 23434552 26363871 35151828 46869104 52727742 70303656 105455484 140607312 210910968 421821936