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426068896 = 25116119843
BaseRepresentation
bin11001011001010…
…100101110100000
31002200201112122111
4121121110232200
51333033201041
6110140045104
713362345241
oct3131245640
91080645574
10426068896
111a9560960
12ba833794
136a36b196
144082ccc8
1527612981
hex19654ba0

426068896 has 48 divisors (see below), whose sum is σ = 930127968. Its totient is φ = 190483200.

The previous prime is 426068891. The next prime is 426068987. The reversal of 426068896 is 698860624.

It is not an unprimeable number, because it can be changed into a prime (426068891) 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 7 ways as a sum of consecutive naturals, for example, 11551 + ... + 31393.

It is an arithmetic number, because the mean of its divisors is an integer number (19377666).

Almost surely, 2426068896 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 426068896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465063984).

426068896 is an abundant number, since it is smaller than the sum of its proper divisors (504059072).

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

426068896 is a wasteful number, since it uses less digits than its factorization.

426068896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19925 (or 19917 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The square root of 426068896 is about 20641.4363841279. The cubic root of 426068896 is about 752.4770814534.

The spelling of 426068896 in words is "four hundred twenty-six million, sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 61 88 122 176 244 352 488 671 976 1342 1952 2684 5368 10736 19843 21472 39686 79372 158744 218273 317488 436546 634976 873092 1210423 1746184 2420846 3492368 4841692 6984736 9683384 13314653 19366768 26629306 38733536 53258612 106517224 213034448 426068896