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5468400 = 2432527231
BaseRepresentation
bin10100110111000011110000
3101021211020100
4110313003300
52344442100
6313112400
764323600
oct24670360
911254210
105468400
1130a5543
1219b8700
131196052
14a24c00
15730400
hex5370f0

5468400 has 270 divisors, whose sum is σ = 22787232. Its totient is φ = 1209600.

The previous prime is 5468389. The next prime is 5468413. The reversal of 5468400 is 48645.

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 53 ways as a sum of consecutive naturals, for example, 176385 + ... + 176415.

Almost surely, 25468400 is an apocalyptic number.

5468400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5468400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11393616).

5468400 is an abundant number, since it is smaller than the sum of its proper divisors (17318832).

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

5468400 is a wasteful number, since it uses less digits than its factorization.

5468400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5468400 is about 2338.4610323886. The cubic root of 5468400 is about 176.1787096621.

The spelling of 5468400 in words is "five million, four hundred sixty-eight thousand, four hundred".