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2468466 = 23271113137
BaseRepresentation
bin1001011010101001110010
311122102002200
421122221302
51112442331
6124524030
726660460
oct11325162
94572080
102468466
111436660
129b0616
13685740
14483830
1533b5e6
hex25aa72

2468466 has 96 divisors (see below), whose sum is σ = 7233408. Its totient is φ = 587520.

The previous prime is 2468449. The next prime is 2468467. The reversal of 2468466 is 6648642.

It is a happy number.

2468466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2468466.

It is not an unprimeable number, because it can be changed into a prime (2468467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17950 + ... + 18086.

It is an arithmetic number, because the mean of its divisors is an integer number (75348).

22468466 is an apocalyptic number.

2468466 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2468466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616704).

2468466 is an abundant number, since it is smaller than the sum of its proper divisors (4764942).

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

2468466 is a wasteful number, since it uses less digits than its factorization.

2468466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 173 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 2468466 is about 1571.1352583403. The cubic root of 2468466 is about 135.1478216190.

The spelling of 2468466 in words is "two million, four hundred sixty-eight thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 137 143 154 182 198 231 234 273 274 286 411 429 462 546 693 819 822 858 959 1001 1233 1287 1386 1507 1638 1781 1918 2002 2466 2574 2877 3003 3014 3562 4521 5343 5754 6006 8631 9009 9042 10549 10686 12467 13563 16029 17262 18018 19591 21098 24934 27126 31647 32058 37401 39182 58773 63294 74802 94941 112203 117546 137137 176319 189882 224406 274274 352638 411411 822822 1234233 2468466