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44645964 = 2231129107109
BaseRepresentation
bin1010101001001…
…1111001001100
310010000020202020
42222103321030
542412132324
64232530140
71051325106
oct252237114
9103006666
1044645964
11232241a0
1212b50950
13933243c
145d02576
153dbd679
hex2a93e4c

44645964 has 96 divisors (see below), whose sum is σ = 119750400. Its totient is φ = 12821760.

The previous prime is 44645959. The next prime is 44645977. The reversal of 44645964 is 46954644.

44645964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 409542 + ... + 409650.

It is an arithmetic number, because the mean of its divisors is an integer number (1247400).

Almost surely, 244645964 is an apocalyptic number.

44645964 is a gapful number since it is divisible by the number (44) 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 44645964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59875200).

44645964 is an abundant number, since it is smaller than the sum of its proper divisors (75104436).

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

44645964 is a wasteful number, since it uses less digits than its factorization.

44645964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 261 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 44645964 is about 6681.7635396653. The cubic root of 44645964 is about 354.7540821487.

The spelling of 44645964 in words is "forty-four million, six hundred forty-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 107 109 116 132 174 214 218 319 321 327 348 428 436 638 642 654 957 1177 1199 1276 1284 1308 1914 2354 2398 3103 3161 3531 3597 3828 4708 4796 6206 6322 7062 7194 9309 9483 11663 12412 12644 14124 14388 18618 18966 23326 34133 34771 34989 37236 37932 46652 68266 69542 69978 102399 104313 128293 136532 139084 139956 204798 208626 256586 338227 384879 409596 417252 513172 676454 769758 1014681 1352908 1539516 2029362 3720497 4058724 7440994 11161491 14881988 22322982 44645964