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4480840 = 2357131231
BaseRepresentation
bin10001000101111101001000
322102122120001
4101011331020
52121341330
6240012344
753041450
oct21057510
98378501
104480840
112590581
1216010b4
13c0b6b0
14848d60
155d79ca
hex445f48

4480840 has 64 divisors (see below), whose sum is σ = 12418560. Its totient is φ = 1416960.

The previous prime is 4480831. The next prime is 4480841. The reversal of 4480840 is 480844.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4480799 and 4480808.

It is not an unprimeable number, because it can be changed into a prime (4480841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3025 + ... + 4255.

It is an arithmetic number, because the mean of its divisors is an integer number (194040).

Almost surely, 24480840 is an apocalyptic number.

4480840 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 4480840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6209280).

4480840 is an abundant number, since it is smaller than the sum of its proper divisors (7937720).

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

4480840 is a wasteful number, since it uses less digits than its factorization.

4480840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 4480840 is about 2116.7994708994. The cubic root of 4480840 is about 164.8617145617.

Subtracting from 4480840 its product of nonzero digits (4096), we obtain a palindrome (4476744).

The spelling of 4480840 in words is "four million, four hundred eighty thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1231 1820 2462 3640 4924 6155 8617 9848 12310 16003 17234 24620 32006 34468 43085 49240 64012 68936 80015 86170 112021 128024 160030 172340 224042 320060 344680 448084 560105 640120 896168 1120210 2240420 4480840