[go: up one dir, main page]

Search a number
-
+
44449728 = 263376257
BaseRepresentation
bin1010100110001…
…1111111000000
310002122021120020
42221203333000
542334342403
64224413440
71046550021
oct251437700
9102567506
1044449728
11230aa814
1212a77280
13929401b
145c90c48
153d80453
hex2a63fc0

44449728 has 56 divisors (see below), whose sum is σ = 120804432. Its totient is φ = 14413824.

The previous prime is 44449703. The next prime is 44449729. The reversal of 44449728 is 82794444.

It is a happy number.

44449728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 44449728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44449729) 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 7 ways as a sum of consecutive naturals, for example, 3976 + ... + 10232.

It is an arithmetic number, because the mean of its divisors is an integer number (2157222).

Almost surely, 244449728 is an apocalyptic number.

44449728 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 44449728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60402216).

44449728 is an abundant number, since it is smaller than the sum of its proper divisors (76354704).

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

44449728 is a wasteful number, since it uses less digits than its factorization.

44449728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6309 (or 6299 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 44449728 is about 6667.0629215570. The cubic root of 44449728 is about 354.2335590437.

The spelling of 44449728 in words is "forty-four million, four hundred forty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 6257 7104 12514 18771 25028 37542 50056 75084 100112 150168 200224 231509 300336 400448 463018 600672 694527 926036 1201344 1389054 1852072 2778108 3704144 5556216 7408288 11112432 14816576 22224864 44449728