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4116882 = 2372111967
BaseRepresentation
bin1111101101000110010010
321202011022010
433231012102
52023220012
6224123350
746664400
oct17550622
97664263
104116882
112362090
121466556
13b11b33
14792470
15564c3c
hex3ed192

4116882 has 96 divisors (see below), whose sum is σ = 11162880. Its totient is φ = 997920.

The previous prime is 4116857. The next prime is 4116887. The reversal of 4116882 is 2886114.

It is not an unprimeable number, because it can be changed into a prime (4116887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61413 + ... + 61479.

It is an arithmetic number, because the mean of its divisors is an integer number (116280).

Almost surely, 24116882 is an apocalyptic number.

4116882 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4116882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581440).

4116882 is an abundant number, since it is smaller than the sum of its proper divisors (7045998).

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

4116882 is a wasteful number, since it uses less digits than its factorization.

4116882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 109 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 4116882 is about 2029.0101034741. The cubic root of 4116882 is about 160.2714402823.

It can be divided in two parts, 4 and 116882, that added together give a triangular number (116886 = T483).

The spelling of 4116882 in words is "four million, one hundred sixteen thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 49 57 66 67 77 98 114 133 134 147 154 201 209 231 266 294 399 402 418 462 469 539 627 737 798 931 938 1078 1254 1273 1407 1463 1474 1617 1862 2211 2546 2793 2814 2926 3234 3283 3819 4389 4422 5159 5586 6566 7638 8778 8911 9849 10241 10318 14003 15477 17822 19698 20482 26733 28006 30723 30954 36113 42009 53466 61446 62377 72226 84018 98021 108339 124754 187131 196042 216678 294063 374262 588126 686147 1372294 2058441 4116882