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445482968 = 23719715897
BaseRepresentation
bin11010100011011…
…000011111011000
31011001020212202012
4122203120133120
51403020423333
6112112125052
714016354110
oct3243303730
91131225665
10445482968
11209510a47
12105236788
13713a79b8
1443244040
1529199e48
hex1a8d87d8

445482968 has 64 divisors (see below), whose sum is σ = 1019174400. Its totient is φ = 178295040.

The previous prime is 445482941. The next prime is 445482971. The reversal of 445482968 is 869284544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72596 + ... + 78492.

It is an arithmetic number, because the mean of its divisors is an integer number (15924600).

Almost surely, 2445482968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445482968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509587200).

445482968 is an abundant number, since it is smaller than the sum of its proper divisors (573691432).

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

445482968 is a wasteful number, since it uses less digits than its factorization.

445482968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6000 (or 5996 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 50.

The square root of 445482968 is about 21106.4674448378. The cubic root of 445482968 is about 763.7367723429.

The spelling of 445482968 in words is "four hundred forty-five million, four hundred eighty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 71 76 133 142 152 266 284 497 532 568 994 1064 1349 1988 2698 3976 5396 5897 9443 10792 11794 18886 23588 37772 41279 47176 75544 82558 112043 165116 224086 330232 418687 448172 784301 837374 896344 1568602 1674748 2930809 3137204 3349496 5861618 6274408 7955053 11723236 15910106 23446472 31820212 55685371 63640424 111370742 222741484 445482968