Search a number
-
+
44461968 = 2435571663
BaseRepresentation
bin1010100110011…
…0111110010000
310002122220100120
42221212332100
542340240333
64224550240
71046630505
oct251467620
9102586316
1044461968
1123108a31
1212a82380
139299775
145c954ac
153d83db3
hex2a66f90

44461968 has 40 divisors (see below), whose sum is σ = 115135488. Its totient is φ = 14785152.

The previous prime is 44461961. The next prime is 44461993. The reversal of 44461968 is 86916444.

44461968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (44461961) 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, 25905 + ... + 27567.

Almost surely, 244461968 is an apocalyptic number.

44461968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

44461968 is an abundant number, since it is smaller than the sum of its proper divisors (70673520).

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

44461968 is a wasteful number, since it uses less digits than its factorization.

44461968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2225 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 44461968 is about 6667.9808038116. The cubic root of 44461968 is about 354.2660708350.

The spelling of 44461968 in words is "forty-four million, four hundred sixty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 557 1114 1663 1671 2228 3326 3342 4456 4989 6652 6684 8912 9978 13304 13368 19956 26608 26736 39912 79824 926291 1852582 2778873 3705164 5557746 7410328 11115492 14820656 22230984 44461968