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44331705 = 3551131107
BaseRepresentation
bin1010100100011…
…1001010111001
310002102021200000
42221013022321
542322103310
64222103213
71045545645
oct251071271
9102367600
1044331705
112302a080
1212a1ab09
1392523a2
145c5dc25
153d5a4c0
hex2a472b9

44331705 has 96 divisors (see below), whose sum is σ = 90574848. Its totient is φ = 20606400.

The previous prime is 44331671. The next prime is 44331737. The reversal of 44331705 is 50713344.

44331705 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 44331705 - 27 = 44331577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 414262 + ... + 414368.

It is an arithmetic number, because the mean of its divisors is an integer number (943488).

Almost surely, 244331705 is an apocalyptic number.

44331705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

44331705 is an abundant number, since it is smaller than the sum of its proper divisors (46243143).

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

44331705 is a wasteful number, since it uses less digits than its factorization.

44331705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 44331705 is about 6658.2058394135. The cubic root of 44331705 is about 353.9197606131.

The spelling of 44331705 in words is "forty-four million, three hundred thirty-one thousand, seven hundred five".

Divisors: 1 3 5 9 11 15 27 31 33 45 55 81 93 99 107 135 155 165 243 279 297 321 341 405 465 495 535 837 891 963 1023 1177 1215 1395 1485 1605 1705 2511 2673 2889 3069 3317 3531 4185 4455 4815 5115 5885 7533 8667 9207 9951 10593 12555 13365 14445 15345 16585 17655 26001 27621 29853 31779 36487 37665 43335 46035 49755 52965 82863 89559 95337 109461 130005 138105 149265 158895 182435 268677 286011 328383 414315 447795 476685 547305 806031 985149 1343385 1430055 1641915 2955447 4030155 4925745 8866341 14777235 44331705