Search a number
-
+
422581280 = 255111912637
BaseRepresentation
bin11001001100000…
…001010000100000
31002110011100112112
4121030001100200
51331140100110
6105533214452
713320611252
oct3114012040
91073140475
10422581280
111a7599630
12b9631428
13697198c4
14401a1cd2
1527174405
hex19301420

422581280 has 96 divisors (see below), whose sum is σ = 1146519360. Its totient is φ = 145566720.

The previous prime is 422581259. The next prime is 422581297. The reversal of 422581280 is 82185224.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 27122 + ... + 39758.

It is an arithmetic number, because the mean of its divisors is an integer number (11942910).

Almost surely, 2422581280 is an apocalyptic number.

422581280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422581280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573259680).

422581280 is an abundant number, since it is smaller than the sum of its proper divisors (723938080).

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

422581280 is a wasteful number, since it uses less digits than its factorization.

422581280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12682 (or 12674 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 422581280 is about 20556.7818493071. The cubic root of 422581280 is about 750.4183029498.

The spelling of 422581280 in words is "four hundred twenty-two million, five hundred eighty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 76 80 88 95 110 152 160 176 190 209 220 304 352 380 418 440 608 760 836 880 1045 1520 1672 1760 2090 3040 3344 4180 6688 8360 12637 16720 25274 33440 50548 63185 101096 126370 139007 202192 240103 252740 278014 404384 480206 505480 556028 695035 960412 1010960 1112056 1200515 1390070 1920824 2021920 2224112 2401030 2641133 2780140 3841648 4448224 4802060 5282266 5560280 7683296 9604120 10564532 11120560 13205665 19208240 21129064 22241120 26411330 38416480 42258128 52822660 84516256 105645320 211290640 422581280