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44968 = 2371173
BaseRepresentation
bin1010111110101000
32021200111
422332220
52414333
6544104
7245050
oct127650
967614
1044968
1130870
1222034
1317611
1412560
15d4cd
hexafa8

44968 has 32 divisors (see below), whose sum is σ = 106560. Its totient is φ = 17280.

The previous prime is 44963. The next prime is 44971. The reversal of 44968 is 86944.

It is not an unprimeable number, because it can be changed into a prime (44963) by changing a digit.

44968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 580 + ... + 652.

It is an arithmetic number, because the mean of its divisors is an integer number (3330).

244968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53280).

44968 is an abundant number, since it is smaller than the sum of its proper divisors (61592).

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

44968 is a wasteful number, since it uses less digits than its factorization.

44968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 93 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 44968 is about 212.0565962190. The cubic root of 44968 is about 35.5604998911.

The spelling of 44968 in words is "forty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 73 77 88 146 154 292 308 511 584 616 803 1022 1606 2044 3212 4088 5621 6424 11242 22484 44968