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44004 = 22319193
BaseRepresentation
bin1010101111100100
32020100210
422233210
52402004
6535420
7242202
oct125744
966323
1044004
1130074
1221570
131704c
1412072
15d089
hexabe4

44004 has 24 divisors (see below), whose sum is σ = 108640. Its totient is φ = 13824.

The previous prime is 43997. The next prime is 44017. The reversal of 44004 is 40044.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

44004 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, 132 + ... + 324.

244004 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 44004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54320).

44004 is an abundant number, since it is smaller than the sum of its proper divisors (64636).

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

44004 is a wasteful number, since it uses less digits than its factorization.

44004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 44004 is about 209.7713040432. The cubic root of 44004 is about 35.3045531234.

Adding to 44004 its reverse (40044), we get a palindrome (84048).

The spelling of 44004 in words is "forty-four thousand, four", and thus it is an eban number and an iban number.

Divisors: 1 2 3 4 6 12 19 38 57 76 114 193 228 386 579 772 1158 2316 3667 7334 11001 14668 22002 44004