Search a number
-
+
426044352 = 26373113269
BaseRepresentation
bin11001011001001…
…110101111000000
31002200200021222110
4121121032233000
51333031404402
6110135335320
713362213546
oct3131165700
91080607873
10426044352
111a9544478
12ba821540
136a35cc66
1440823d96
152760a56c
hex1964ebc0

426044352 has 112 divisors (see below), whose sum is σ = 1157081760. Its totient is φ = 138313728.

The previous prime is 426044351. The next prime is 426044363. The reversal of 426044352 is 253440624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426044351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1583674 + ... + 1583942.

Almost surely, 2426044352 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 426044352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578540880).

426044352 is an abundant number, since it is smaller than the sum of its proper divisors (731037408).

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

426044352 is a wasteful number, since it uses less digits than its factorization.

426044352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 426044352 is about 20640.8418432970. The cubic root of 426044352 is about 752.4626321845.

Adding to 426044352 its reverse (253440624), we get a palindrome (679484976).

The spelling of 426044352 in words is "four hundred twenty-six million, forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 113 146 192 219 226 269 292 339 438 452 538 584 678 807 876 904 1076 1168 1356 1614 1752 1808 2152 2336 2712 3228 3504 3616 4304 4672 5424 6456 7008 7232 8249 8608 10848 12912 14016 16498 17216 19637 21696 24747 25824 30397 32996 39274 49494 51648 58911 60794 65992 78548 91191 98988 117822 121588 131984 157096 182382 197976 235644 243176 263968 314192 364764 395952 471288 486352 527936 628384 729528 791904 942576 972704 1256768 1459056 1583808 1885152 1945408 2218981 2918112 3770304 4437962 5836224 6656943 8875924 13313886 17751848 26627772 35503696 53255544 71007392 106511088 142014784 213022176 426044352