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5466456 = 2332233301
BaseRepresentation
bin10100110110100101011000
3101021201120100
4110312211120
52344411311
6313055400
764315122
oct24664530
911251510
105466456
1130a4036
1219b7560
1311951b8
14a24212
1572ea56
hex536958

5466456 has 48 divisors (see below), whose sum is σ = 15453360. Its totient is φ = 1742400.

The previous prime is 5466449. The next prime is 5466497. The reversal of 5466456 is 6546645.

It is a happy number.

5466456 is a `hidden beast` number, since 5 + 4 + 6 + 645 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5466456.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6 + ... + 3306.

It is an arithmetic number, because the mean of its divisors is an integer number (321945).

Almost surely, 25466456 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 5466456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7726680).

5466456 is an abundant number, since it is smaller than the sum of its proper divisors (9986904).

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

5466456 is a wasteful number, since it uses less digits than its factorization.

5466456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336 (or 3329 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 5466456 is about 2338.0453374561. The cubic root of 5466456 is about 176.1578301846.

The spelling of 5466456 in words is "five million, four hundred sixty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 3301 6602 9903 13204 19806 26408 29709 39612 59418 75923 79224 118836 151846 227769 237672 303692 455538 607384 683307 911076 1366614 1822152 2733228 5466456