Search a number
-
+
44688 = 2437219
BaseRepresentation
bin1010111010010000
32021022010
422322100
52412223
6542520
7244200
oct127220
967263
1044688
1130636
1221a40
1317457
1412400
15d393
hexae90

44688 has 60 divisors (see below), whose sum is σ = 141360. Its totient is φ = 12096.

The previous prime is 44687. The next prime is 44699. The reversal of 44688 is 88644.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (44683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2343 + ... + 2361.

It is an arithmetic number, because the mean of its divisors is an integer number (2356).

244688 is an apocalyptic number.

44688 is a gapful number since it is divisible by the number (48) 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 44688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70680).

44688 is an abundant number, since it is smaller than the sum of its proper divisors (96672).

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

44688 is a wasteful number, since it uses less digits than its factorization.

44688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 31 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 44688 is about 211.3953641876. The cubic root of 44688 is about 35.4865385713.

Subtracting 44688 from its reverse (88644), we obtain a triangular number (43956 = T296).

The spelling of 44688 in words is "forty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 49 56 57 76 84 98 112 114 133 147 152 168 196 228 266 294 304 336 392 399 456 532 588 784 798 912 931 1064 1176 1596 1862 2128 2352 2793 3192 3724 5586 6384 7448 11172 14896 22344 44688