Search a number
-
+
426316902 = 2311127181281
BaseRepresentation
bin11001011010010…
…001010001100110
31002201012010211220
4121122101101212
51333114120102
6110145241210
713364430264
oct3132212146
91081163756
10426316902
111a9710220
12ba933206
136a42702b
1440895434
15276611bc
hex19691466

426316902 has 64 divisors (see below), whose sum is σ = 946003968. Its totient is φ = 127008000.

The previous prime is 426316879. The next prime is 426316909. The reversal of 426316902 is 209613624.

It is a super-2 number, since 2×4263169022 = 363492201861755208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426316909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1517002 + ... + 1517282.

It is an arithmetic number, because the mean of its divisors is an integer number (14781312).

Almost surely, 2426316902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426316902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473001984).

426316902 is an abundant number, since it is smaller than the sum of its proper divisors (519687066).

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

426316902 is a wasteful number, since it uses less digits than its factorization.

426316902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 426316902 is about 20647.4429893873. The cubic root of 426316902 is about 752.6230536467.

The spelling of 426316902 in words is "four hundred twenty-six million, three hundred sixteen thousand, nine hundred two".

Divisors: 1 2 3 6 11 22 33 66 127 181 254 281 362 381 543 562 762 843 1086 1397 1686 1991 2794 3091 3982 4191 5973 6182 8382 9273 11946 18546 22987 35687 45974 50861 68961 71374 101722 107061 137922 152583 214122 252857 305166 392557 505714 559471 758571 785114 1118942 1177671 1517142 1678413 2355342 3356826 6459347 12918694 19378041 38756082 71052817 142105634 213158451 426316902