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426882852 = 2233111723919
BaseRepresentation
bin11001011100011…
…011011100100100
31002202020220012000
4121130123130210
51333240222402
6110205325300
713402305264
oct3134333444
91082226160
10426882852
111a9a67450
12bab66830
136a594806
14409a17a4
1527723c1c
hex1971b724

426882852 has 192 divisors, whose sum is σ = 1335398400. Its totient is φ = 116328960.

The previous prime is 426882851. The next prime is 426882881. The reversal of 426882852 is 258288624.

It is a super-3 number, since 3×4268828523 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 426882798 and 426882807.

It is not an unprimeable number, because it can be changed into a prime (426882851) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 464049 + ... + 464967.

It is an arithmetic number, because the mean of its divisors is an integer number (6955200).

Almost surely, 2426882852 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 426882852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667699200).

426882852 is an abundant number, since it is smaller than the sum of its proper divisors (908515548).

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

426882852 is a wasteful number, since it uses less digits than its factorization.

426882852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 975 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 426882852 is about 20661.1435307923. The cubic root of 426882852 is about 752.9559505033.

The spelling of 426882852 in words is "four hundred twenty-six million, eight hundred eighty-two thousand, eight hundred fifty-two".