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44705934 = 2327313557
BaseRepresentation
bin1010101010001…
…0100010001110
310010010022000100
42222202202032
542421042214
64234111530
71051665000
oct252424216
9103108010
1044705934
1123265259
1212b7b5a6
139353820
145d1a370
153dd1309
hex2aa288e

44705934 has 96 divisors (see below), whose sum is σ = 121867200. Its totient is φ = 11769408.

The previous prime is 44705929. The next prime is 44705963. The reversal of 44705934 is 43950744.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79984 + ... + 80540.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 244705934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44705934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60933600).

44705934 is an abundant number, since it is smaller than the sum of its proper divisors (77161266).

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

44705934 is a wasteful number, since it uses less digits than its factorization.

44705934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 44705934 is about 6686.2496214246. The cubic root of 44705934 is about 354.9128503919.

It can be divided in two parts, 4470 and 5934, that added together give a square (10404 = 1022).

The spelling of 44705934 in words is "forty-four million, seven hundred five thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 343 441 546 557 637 686 819 882 1029 1114 1274 1638 1671 1911 2058 3087 3342 3822 3899 4459 5013 5733 6174 7241 7798 8918 10026 11466 11697 13377 14482 21723 23394 26754 27293 35091 40131 43446 50687 54586 65169 70182 80262 81879 101374 130338 152061 163758 191051 245637 304122 354809 382102 456183 491274 573153 709618 912366 1064427 1146306 1719459 2128854 2483663 3193281 3438918 4967326 6386562 7450989 14901978 22352967 44705934