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44720 = 2451343
BaseRepresentation
bin1010111010110000
32021100022
422322300
52412340
6543012
7244244
oct127260
967308
1044720
1130665
1221a68
1317480
1412424
15d3b5
hexaeb0

44720 has 40 divisors (see below), whose sum is σ = 114576. Its totient is φ = 16128.

The previous prime is 44711. The next prime is 44729. The reversal of 44720 is 2744.

44720 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (44711) and next prime (44729).

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

44720 is strictly pandigital in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 44720.

It is not an unprimeable number, because it can be changed into a prime (44729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1019 + ... + 1061.

244720 is an apocalyptic number.

44720 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 44720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57288).

44720 is an abundant number, since it is smaller than the sum of its proper divisors (69856).

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

44720 is a wasteful number, since it uses less digits than its factorization.

44720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 44720 is about 211.4710382062. The cubic root of 44720 is about 35.4950069021.

Adding to 44720 its product of nonzero digits (224), we get a palindrome (44944).

The spelling of 44720 in words is "forty-four thousand, seven hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 13 16 20 26 40 43 52 65 80 86 104 130 172 208 215 260 344 430 520 559 688 860 1040 1118 1720 2236 2795 3440 4472 5590 8944 11180 22360 44720