Search a number
-
+
4464720 = 243451353
BaseRepresentation
bin10001000010000001010000
322101211110000
4101002001100
52120332340
6235410000
752643451
oct21020120
98354400
104464720
11257a457
1215b3900
13c04260
14843128
155d2d30
hex442050

4464720 has 200 divisors, whose sum is σ = 17014536. Its totient is φ = 1078272.

The previous prime is 4464689. The next prime is 4464721. The reversal of 4464720 is 274644.

It can be written as a sum of positive squares in 4 ways, for example, as 254016 + 4210704 = 504^2 + 2052^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4464721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84214 + ... + 84266.

Almost surely, 24464720 is an apocalyptic number.

4464720 is a gapful number since it is divisible by the number (40) 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 4464720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8507268).

4464720 is an abundant number, since it is smaller than the sum of its proper divisors (12549816).

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

4464720 is a wasteful number, since it uses less digits than its factorization.

4464720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4464720 is about 2112.9884050794. The cubic root of 4464720 is about 164.6637781533.

It can be divided in two parts, 4464 and 720, that added together give a square (5184 = 722).

The spelling of 4464720 in words is "four million, four hundred sixty-four thousand, seven hundred twenty".