Search a number
-
+
44168768 = 267195189
BaseRepresentation
bin1010100001111…
…1011001000000
310002010000011022
42220133121000
542301400033
64214405012
71044266630
oct250373100
9102100138
1044168768
1122a28716
1212960768
1391c6187
145c1a6c0
153d27098
hex2a1f640

44168768 has 56 divisors (see below), whose sum is σ = 105460800. Its totient is φ = 17929728.

The previous prime is 44168759. The next prime is 44168797. The reversal of 44168768 is 86786144.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5918 + ... + 11106.

Almost surely, 244168768 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 44168768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52730400).

44168768 is an abundant number, since it is smaller than the sum of its proper divisors (61292032).

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

44168768 is a wasteful number, since it uses less digits than its factorization.

44168768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5227 (or 5217 counting only the distinct ones).

The product of its digits is 258048, while the sum is 44.

The square root of 44168768 is about 6645.9587720659. The cubic root of 44168768 is about 353.4856287425.

The spelling of 44168768 in words is "forty-four million, one hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 5189 8512 10378 20756 36323 41512 72646 83024 98591 145292 166048 197182 290584 332096 394364 581168 690137 788728 1162336 1380274 1577456 2324672 2760548 3154912 5521096 6309824 11042192 22084384 44168768