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445946112 = 28321961167
BaseRepresentation
bin11010100101001…
…001100100000000
31011002010102001200
4122211021210000
51403130233422
6112130101200
714023323303
oct3245114400
91132112050
10445946112
112097a7a07
1210541a800
137150a751
1443324b3a
152923c2ac
hex1a949900

445946112 has 216 divisors, whose sum is σ = 1383869760. Its totient is φ = 137687040.

The previous prime is 445946087. The next prime is 445946113. The reversal of 445946112 is 211649544.

445946112 is a `hidden beast` number, since 4 + 4 + 594 + 61 + 1 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (445946113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2670253 + ... + 2670419.

Almost surely, 2445946112 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 445946112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691934880).

445946112 is an abundant number, since it is smaller than the sum of its proper divisors (937923648).

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

445946112 is a wasteful number, since it uses less digits than its factorization.

445946112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 252 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 445946112 is about 21117.4362080249. The cubic root of 445946112 is about 764.0013522997.

The spelling of 445946112 in words is "four hundred forty-five million, nine hundred forty-six thousand, one hundred twelve".