Search a number
-
+
421983296 = 267347409
BaseRepresentation
bin11001001001101…
…111010001000000
31002102000222020222
4121021233101000
51331011431141
6105512322212
713312541000
oct3111572100
91072028228
10421983296
111a7220329
12b93a3368
136956a677
1440088000
15270a714b
hex1926f440

421983296 has 112 divisors (see below), whose sum is σ = 999744000. Its totient is φ = 176569344.

The previous prime is 421983251. The next prime is 421983301. The reversal of 421983296 is 692389124.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1031540 + ... + 1031948.

Almost surely, 2421983296 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 421983296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499872000).

421983296 is an abundant number, since it is smaller than the sum of its proper divisors (577760704).

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

421983296 is an equidigital number, since it uses as much as digits as its factorization.

421983296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 465 counting only the distinct ones).

The product of its digits is 186624, while the sum is 44.

The square root of 421983296 is about 20542.2320111521. The cubic root of 421983296 is about 750.0641699169.

The spelling of 421983296 in words is "four hundred twenty-one million, nine hundred eighty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 49 56 64 94 98 112 188 196 224 329 343 376 392 409 448 658 686 752 784 818 1316 1372 1504 1568 1636 2303 2632 2744 2863 3008 3136 3272 4606 5264 5488 5726 6544 9212 10528 10976 11452 13088 16121 18424 19223 20041 21056 21952 22904 26176 32242 36848 38446 40082 45808 64484 73696 76892 80164 91616 128968 134561 140287 147392 153784 160328 183232 257936 269122 280574 307568 320656 515872 538244 561148 615136 641312 941927 1031744 1076488 1122296 1230272 1282624 1883854 2152976 2244592 3767708 4305952 4489184 6593489 7535416 8611904 8978368 13186978 15070832 26373956 30141664 52747912 60283328 105495824 210991648 421983296