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44436 = 2237232
BaseRepresentation
bin1010110110010100
32020221210
422312110
52410221
6541420
7243360
oct126624
966853
1044436
1130427
1221870
13172c2
14122a0
15d276
hexad94

44436 has 36 divisors (see below), whose sum is σ = 123872. Its totient is φ = 12144.

The previous prime is 44417. The next prime is 44449. The reversal of 44436 is 63444.

Added to its reverse (63444) it gives a triangular number (107880 = T464).

44436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 44436.

It is an unprimeable number.

44436 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 11 ways as a sum of consecutive naturals, for example, 1921 + ... + 1943.

244436 is an apocalyptic number.

44436 is a gapful number since it is divisible by the number (46) 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 44436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61936).

44436 is an abundant number, since it is smaller than the sum of its proper divisors (79436).

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

44436 is a wasteful number, since it uses less digits than its factorization.

44436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 35 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 44436 is about 210.7984819680. The cubic root of 44436 is about 35.4197087737.

Multiplying 44436 by its sum of digits (21), we get a square (933156 = 9662).

44436 divided by its sum of digits (21) gives a square (2116 = 462).

Adding to 44436 its reverse (63444), we get a triangular number (107880 = T464).

The spelling of 44436 in words is "forty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 529 644 966 1058 1587 1932 2116 3174 3703 6348 7406 11109 14812 22218 44436