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44505993 = 3779139193
BaseRepresentation
bin1010100111000…
…1101110001001
310002202010202010
42221301232021
542343142433
64225530133
71050203040
oct251615611
9102663663
1044505993
1123139014
1212aa3949
1392b380c
145ca7557
153d91e63
hex2a71b89

44505993 has 32 divisors (see below), whose sum is σ = 69529600. Its totient is φ = 24800256.

The previous prime is 44505977. The next prime is 44505997. The reversal of 44505993 is 39950544.

44505993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 44505993 - 24 = 44505977 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (44505997) 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 31 ways as a sum of consecutive naturals, for example, 230505 + ... + 230697.

It is an arithmetic number, because the mean of its divisors is an integer number (2172800).

Almost surely, 244505993 is an apocalyptic number.

It is an amenable number.

44505993 is a deficient number, since it is larger than the sum of its proper divisors (25023607).

44505993 is a wasteful number, since it uses less digits than its factorization.

44505993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421.

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 44505993 is about 6671.2812112817. The cubic root of 44505993 is about 354.3829603890.

The spelling of 44505993 in words is "forty-four million, five hundred five thousand, nine hundred ninety-three".

Divisors: 1 3 7 21 79 139 193 237 417 553 579 973 1351 1659 2919 4053 10981 15247 26827 32943 45741 76867 80481 106729 187789 230601 320187 563367 2119333 6357999 14835331 44505993