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445746378 = 2371171107127
BaseRepresentation
bin11010100100011…
…000110011001010
31011001202021002010
4122210120303022
51403102341003
6112121520350
714021532060
oct3244306312
91131667063
10445746378
11209680940
121053430b6
137146a86c
14432b2030
15291ed003
hex1a918cca

445746378 has 128 divisors (see below), whose sum is σ = 1146617856. Its totient is φ = 112190400.

The previous prime is 445746373. The next prime is 445746391. The reversal of 445746378 is 873647544.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (445746373) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3509751 + ... + 3509877.

It is an arithmetic number, because the mean of its divisors is an integer number (8957952).

Almost surely, 2445746378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445746378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573308928).

445746378 is an abundant number, since it is smaller than the sum of its proper divisors (700871478).

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

445746378 is a wasteful number, since it uses less digits than its factorization.

445746378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328.

The product of its digits is 2257920, while the sum is 48.

The square root of 445746378 is about 21112.7065531637. The cubic root of 445746378 is about 763.8872728704.

The spelling of 445746378 in words is "four hundred forty-five million, seven hundred forty-six thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 71 77 107 127 142 154 213 214 231 254 321 381 426 462 497 642 749 762 781 889 994 1177 1397 1491 1498 1562 1778 2247 2343 2354 2667 2794 2982 3531 4191 4494 4686 5334 5467 7062 7597 8239 8382 9017 9779 10934 13589 15194 16401 16478 18034 19558 22791 24717 27051 27178 29337 32802 40767 45582 49434 53179 54102 58674 63119 81534 83567 95123 99187 106358 126238 149479 159537 167134 189357 190246 198374 250701 285369 297561 298958 319074 378714 448437 501402 570738 584969 595122 694309 896874 964819 1046353 1169938 1388618 1754907 1929638 2082927 2092706 2894457 3139059 3509814 4165854 5788914 6278118 6753733 10613009 13507466 20261199 21226018 31839027 40522398 63678054 74291063 148582126 222873189 445746378