Search a number
-
+
44980 = 22513173
BaseRepresentation
bin1010111110110100
32021200221
422332310
52414410
6544124
7245065
oct127664
967627
1044980
1130881
1222044
1317620
141256c
15d4da
hexafb4

44980 has 24 divisors (see below), whose sum is σ = 102312. Its totient is φ = 16512.

The previous prime is 44971. The next prime is 44983. The reversal of 44980 is 8944.

44980 = T26 + T27 + ... + T65.

It can be written as a sum of positive squares in 4 ways, for example, as 5776 + 39204 = 76^2 + 198^2 .

It is an Ulam number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44983) by changing a digit.

44980 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, 174 + ... + 346.

It is an arithmetic number, because the mean of its divisors is an integer number (4263).

244980 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 44980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51156).

44980 is an abundant number, since it is smaller than the sum of its proper divisors (57332).

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

44980 is a wasteful number, since it uses less digits than its factorization.

44980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 44980 is about 212.0848886649. The cubic root of 44980 is about 35.5636627925.

It can be divided in two parts, 449 and 80, that added together give a square (529 = 232).

The spelling of 44980 in words is "forty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 173 260 346 692 865 1730 2249 3460 4498 8996 11245 22490 44980