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4440 = 233537
BaseRepresentation
bin1000101011000
320002110
41011120
5120230
632320
715642
oct10530
96073
104440
113377
1226a0
132037
141892
1514b0
hex1158

4440 has 32 divisors (see below), whose sum is σ = 13680. Its totient is φ = 1152.

The previous prime is 4423. The next prime is 4441. The reversal of 4440 is 444.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a plaindrome in base 11 and base 16.

It is a nialpdrome in base 10.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4441) 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 7 ways as a sum of consecutive naturals, for example, 102 + ... + 138.

24440 is an apocalyptic number.

4440 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 4440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6840).

4440 is an abundant number, since it is smaller than the sum of its proper divisors (9240).

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

4440 is a wasteful number, since it uses less digits than its factorization.

4440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4440 is about 66.6333249958. The cubic root of 4440 is about 16.4359315298.

Adding to 4440 its reverse (444), we get a palindrome (4884).

It can be divided in two parts, 4 and 440, that added together give a palindrome (444).

The spelling of 4440 in words is "four thousand, four hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440