Search a number
-
+
44257122 = 23271341659
BaseRepresentation
bin1010100011010…
…0111101100010
310002021111100200
42220310331202
542312211442
64220330030
71045115340
oct250647542
9102244320
1044257122
1122a89038
12129a3916
139227460
145c40990
153d4334c
hex2a34f62

44257122 has 96 divisors (see below), whose sum is σ = 121080960. Its totient is φ = 11370240.

The previous prime is 44257111. The next prime is 44257141. The reversal of 44257122 is 22175244.

44257122 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 47 ways as a sum of consecutive naturals, for example, 66829 + ... + 67487.

It is an arithmetic number, because the mean of its divisors is an integer number (1261260).

Almost surely, 244257122 is an apocalyptic number.

44257122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 44257122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60540480).

44257122 is an abundant number, since it is smaller than the sum of its proper divisors (76823838).

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

44257122 is a wasteful number, since it uses less digits than its factorization.

44257122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 725 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 44257122 is about 6652.6026485880. The cubic root of 44257122 is about 353.7211727603.

The spelling of 44257122 in words is "forty-four million, two hundred fifty-seven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 41 42 63 78 82 91 117 123 126 182 234 246 273 287 369 533 546 574 659 738 819 861 1066 1318 1599 1638 1722 1977 2583 3198 3731 3954 4613 4797 5166 5931 7462 8567 9226 9594 11193 11862 13839 17134 22386 25701 27019 27678 33579 41517 51402 54038 59969 67158 77103 81057 83034 119938 154206 162114 179907 189133 243171 351247 359814 378266 486342 539721 567399 702494 1053741 1079442 1134798 1702197 2107482 2458729 3161223 3404394 4917458 6322446 7376187 14752374 22128561 44257122