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4259441868 = 223111718110487
BaseRepresentation
bin1111110111100001…
…1110110011001100
3101222211220001210020
43331320132303030
532210404114433
61542354342140
7210360441603
oct37570366314
911884801706
104259441868
1118963867a0
129aa58a950
1352b5bb906
142c59aaa3a
1519de21cb3
hexfde1eccc

4259441868 has 96 divisors (see below), whose sum is σ = 11544519168. Its totient is φ = 1207987200.

The previous prime is 4259441863. The next prime is 4259441873. The reversal of 4259441868 is 8681449524.

It is an interprime number because it is at equal distance from previous prime (4259441863) and next prime (4259441873).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 4259441868.

It is not an unprimeable number, because it can be changed into a prime (4259441861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400921 + ... + 411407.

It is an arithmetic number, because the mean of its divisors is an integer number (120255408).

Almost surely, 24259441868 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 4259441868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5772259584).

4259441868 is an abundant number, since it is smaller than the sum of its proper divisors (7285077300).

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

4259441868 is a wasteful number, since it uses less digits than its factorization.

4259441868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10703 (or 10701 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 51.

The square root of 4259441868 is about 65264.3996984574. The cubic root of 4259441868 is about 1621.0045423379.

The spelling of 4259441868 in words is "four billion, two hundred fifty-nine million, four hundred forty-one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 181 187 204 362 374 543 561 724 748 1086 1122 1991 2172 2244 3077 3982 5973 6154 7964 9231 10487 11946 12308 18462 20974 23892 31461 33847 36924 41948 62922 67694 101541 115357 125844 135388 178279 203082 230714 346071 356558 406164 461428 534837 692142 713116 1069674 1384284 1898147 1961069 2139348 3796294 3922138 5694441 5883207 7592588 7844276 11388882 11766414 20879617 22777764 23532828 32268499 41759234 62638851 64536998 83518468 96805497 125277702 129073996 193610994 250555404 354953489 387221988 709906978 1064860467 1419813956 2129720934 4259441868