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2456406 = 23459257
BaseRepresentation
bin1001010111101101010110
311121210120000
421113231112
51112101111
6124352130
726610351
oct11275526
94553500
102456406
111428597
129a5646
136800c4
1447d298
15337c56
hex257b56

2456406 has 40 divisors (see below), whose sum is σ = 5619240. Its totient is φ = 801792.

The previous prime is 2456401. The next prime is 2456407. The reversal of 2456406 is 6046542.

It is a happy number.

2456406 is nontrivially palindromic in base 4.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2456406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2456401) 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 19 ways as a sum of consecutive naturals, for example, 9430 + ... + 9686.

It is an arithmetic number, because the mean of its divisors is an integer number (140481).

22456406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2456406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809620).

2456406 is an abundant number, since it is smaller than the sum of its proper divisors (3162834).

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

2456406 is a wasteful number, since it uses less digits than its factorization.

2456406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2456406 is about 1567.2925700073. The cubic root of 2456406 is about 134.9273683377.

The spelling of 2456406 in words is "two million, four hundred fifty-six thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 257 354 514 531 771 1062 1542 1593 2313 3186 4626 4779 6939 9558 13878 15163 20817 30326 41634 45489 90978 136467 272934 409401 818802 1228203 2456406