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4494240 = 253253121
BaseRepresentation
bin10001001001001110100000
322110022221100
4101021032200
52122303430
6240154400
753125512
oct21111640
98408840
104494240
11259a653
121608a00
13c1481a
1484dbb2
155db960
hex4493a0

4494240 has 72 divisors (see below), whose sum is σ = 15341508. Its totient is φ = 1198080.

The previous prime is 4494227. The next prime is 4494247. The reversal of 4494240 is 424944.

It can be written as a sum of positive squares in 2 ways, for example, as 3640464 + 853776 = 1908^2 + 924^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (4494247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121 + ... + 3000.

Almost surely, 24494240 is an apocalyptic number.

4494240 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 4494240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7670754).

4494240 is an abundant number, since it is smaller than the sum of its proper divisors (10847268).

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

4494240 is a wasteful number, since it uses less digits than its factorization.

4494240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4494240 is about 2119.9622638151. The cubic root of 4494240 is about 165.0258912538.

The spelling of 4494240 in words is "four million, four hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 3121 6242 9363 12484 15605 18726 24968 28089 31210 37452 46815 49936 56178 62420 74904 93630 99872 112356 124840 140445 149808 187260 224712 249680 280890 299616 374520 449424 499360 561780 749040 898848 1123560 1498080 2247120 4494240