Search a number
-
+
44551104 = 2631321373
BaseRepresentation
bin1010100111110…
…0101111000000
310002211102121220
42221330233000
542401113404
64230515040
71050451413
oct251745700
9102742556
1044551104
11231699a4
1212b05a80
1392cb200
145cb9b7a
153da04d9
hex2a7cbc0

44551104 has 84 divisors (see below), whose sum is σ = 127732536. Its totient is φ = 13698048.

The previous prime is 44551103. The next prime is 44551109. The reversal of 44551104 is 40115544.

It is a happy number.

44551104 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44551103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31762 + ... + 33134.

Almost surely, 244551104 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 44551104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63866268).

44551104 is an abundant number, since it is smaller than the sum of its proper divisors (83181432).

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

44551104 is a wasteful number, since it uses less digits than its factorization.

44551104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 44551104 is about 6674.6613397235. The cubic root of 44551104 is about 354.5026534191.

Adding to 44551104 its reverse (40115544), we get a palindrome (84666648).

The spelling of 44551104 in words is "forty-four million, five hundred fifty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 169 192 208 312 338 416 507 624 676 832 1014 1248 1352 1373 2028 2496 2704 2746 4056 4119 5408 5492 8112 8238 10816 10984 16224 16476 17849 21968 32448 32952 35698 43936 53547 65904 71396 87872 107094 131808 142792 214188 232037 263616 285584 428376 464074 571168 696111 856752 928148 1142336 1392222 1713504 1856296 2784444 3427008 3712592 5568888 7425184 11137776 14850368 22275552 44551104