Search a number
-
+
44280 = 2333541
BaseRepresentation
bin1010110011111000
32020202000
422303320
52404110
6541000
7243045
oct126370
966660
1044280
11302a5
1221760
1317202
14121cc
15d1c0
hexacf8

44280 has 64 divisors (see below), whose sum is σ = 151200. Its totient is φ = 11520.

The previous prime is 44279. The next prime is 44281. The reversal of 44280 is 8244.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (44279) and next prime (44281).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6 and base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44281) 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, 1060 + ... + 1100.

244280 is an apocalyptic number.

44280 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 44280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600).

44280 is an abundant number, since it is smaller than the sum of its proper divisors (106920).

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

44280 is a wasteful number, since it uses less digits than its factorization.

44280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 44280 is about 210.4281350010. The cubic root of 44280 is about 35.3782112398.

It can be divided in two parts, 44 and 280, that added together give a square (324 = 182).

The spelling of 44280 in words is "forty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 82 90 108 120 123 135 164 180 205 216 246 270 328 360 369 410 492 540 615 738 820 984 1080 1107 1230 1476 1640 1845 2214 2460 2952 3690 4428 4920 5535 7380 8856 11070 14760 22140 44280