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445969368 = 233313219643
BaseRepresentation
bin11010100101001…
…111001111011000
31011002011120222000
4122211033033120
51403132004433
6112130401000
714023451145
oct3245171730
91132146860
10445969368
11209813429
12105430160
1371518200
144332d3cc
1529244113
hex1a94f3d8

445969368 has 192 divisors, whose sum is σ = 1414224000. Its totient is φ = 129796992.

The previous prime is 445969361. The next prime is 445969369. The reversal of 445969368 is 863969544.

445969368 is a `hidden beast` number, since 44 + 596 + 9 + 3 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445969361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 693255 + ... + 693897.

It is an arithmetic number, because the mean of its divisors is an integer number (7365750).

Almost surely, 2445969368 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 445969368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707112000).

445969368 is an abundant number, since it is smaller than the sum of its proper divisors (968254632).

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

445969368 is a wasteful number, since it uses less digits than its factorization.

445969368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 680 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 445969368 is about 21117.9868358705. The cubic root of 445969368 is about 764.0146329078.

The spelling of 445969368 in words is "four hundred forty-five million, nine hundred sixty-nine thousand, three hundred sixty-eight".