Search a number
-
+
428563344 = 243113126183
BaseRepresentation
bin11001100010110…
…101101110010000
31002212102021101110
4121202311232100
51334203011334
6110305333320
713422504546
oct3142655620
91085367343
10428563344
111aaa04a90
12bb637240
136aa326a1
1440cbbd96
1527956ae9
hex198b5b90

428563344 has 80 divisors (see below), whose sum is σ = 1246777344. Its totient is φ = 125673600.

The previous prime is 428563339. The next prime is 428563357. The reversal of 428563344 is 443365824.

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, 3277 + ... + 29459.

Almost surely, 2428563344 is an apocalyptic number.

428563344 is a gapful number since it is divisible by the number (44) 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 428563344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623388672).

428563344 is an abundant number, since it is smaller than the sum of its proper divisors (818214000).

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

428563344 is a wasteful number, since it uses less digits than its factorization.

428563344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26236 (or 26230 counting only the distinct ones).

The product of its digits is 276480, while the sum is 39.

The square root of 428563344 is about 20701.7715183991. The cubic root of 428563344 is about 753.9427002778.

The spelling of 428563344 in words is "four hundred twenty-eight million, five hundred sixty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 1023 1364 1488 2046 2728 4092 5456 8184 16368 26183 52366 78549 104732 157098 209464 288013 314196 418928 576026 628392 811673 864039 1152052 1256784 1623346 1728078 2304104 2435019 3246692 3456156 4608208 4870038 6493384 6912312 8928403 9740076 12986768 13824624 17856806 19480152 26785209 35713612 38960304 53570418 71427224 107140836 142854448 214281672 428563344