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441124245 = 335172361137
BaseRepresentation
bin11010010010110…
…000010110010101
31010202001102201000
4122102300112111
51400411433440
6111434453513
713634331342
oct3222602625
91122042630
10441124245
112070041a1
12103894299
137050ca83
144282b7c9
1528ad8730
hex1a4b0595

441124245 has 128 divisors (see below), whose sum is σ = 887086080. Its totient is φ = 206807040.

The previous prime is 441124193. The next prime is 441124283. The reversal of 441124245 is 542421144.

441124245 is a `hidden beast` number, since 4 + 411 + 2 + 4 + 245 = 666.

It is not a de Polignac number, because 441124245 - 28 = 441123989 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 127 ways as a sum of consecutive naturals, for example, 3219817 + ... + 3219953.

It is an arithmetic number, because the mean of its divisors is an integer number (6930360).

Almost surely, 2441124245 is an apocalyptic number.

441124245 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

441124245 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

441124245 is a wasteful number, since it uses less digits than its factorization.

441124245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 441124245 is about 21002.9580059572. The cubic root of 441124245 is about 761.2377367046.

Adding to 441124245 its reverse (542421144), we get a palindrome (983545389).

The spelling of 441124245 in words is "four hundred forty-one million, one hundred twenty-four thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 17 23 27 45 51 61 69 85 115 135 137 153 183 207 255 305 345 391 411 459 549 621 685 765 915 1035 1037 1173 1233 1403 1647 1955 2055 2295 2329 2745 3105 3111 3151 3519 3699 4209 5185 5865 6165 6987 7015 8235 8357 9333 9453 10557 11645 12627 15555 15755 17595 18495 20961 21045 23851 25071 27999 28359 34935 37881 41785 46665 47265 52785 53567 62883 63135 71553 75213 85077 104805 119255 125355 139995 141795 142069 160701 189405 192211 214659 225639 267835 314415 357765 376065 425385 426207 482103 576633 643977 710345 803505 961055 1073295 1128195 1278621 1446309 1729899 2131035 2410515 2883165 3219885 3267587 3835863 5189697 6393105 7231545 8649495 9802761 16337935 19179315 25948485 29408283 49013805 88224849 147041415 441124245