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4472320 = 2951747
BaseRepresentation
bin10001000011111000000000
322102012212111
4101003320000
52121103240
6235505104
753004556
oct21037000
98365774
104472320
112585136
1215b8194
13c07858
14845bd6
155d51ea
hex443e00

4472320 has 40 divisors (see below), whose sum is σ = 10729224. Its totient is φ = 1787904.

The previous prime is 4472311. The next prime is 4472323. The reversal of 4472320 is 232744.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4472291 and 4472300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4472323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1687 + ... + 3433.

Almost surely, 24472320 is an apocalyptic number.

4472320 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 4472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5364612).

4472320 is an abundant number, since it is smaller than the sum of its proper divisors (6256904).

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

4472320 is an equidigital number, since it uses as much as digits as its factorization.

4472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 4472320 is about 2114.7860411871. The cubic root of 4472320 is about 164.7571573051.

The spelling of 4472320 in words is "four million, four hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 1747 2560 3494 6988 8735 13976 17470 27952 34940 55904 69880 111808 139760 223616 279520 447232 559040 894464 1118080 2236160 4472320