Search a number
-
+
445980672 = 2133223263
BaseRepresentation
bin11010100101010…
…010000000000000
31011002012011110200
4122211102000000
51403132340142
6112130525200
714023526124
oct3245220000
91132164420
10445980672
11209820975
12105436800
13715203b7
1443333584
152924764c
hex1a952000

445980672 has 168 divisors, whose sum is σ = 1349434944. Its totient is φ = 141656064.

The previous prime is 445980671. The next prime is 445980677. The reversal of 445980672 is 276089544.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (445980671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1695613 + ... + 1695875.

Almost surely, 2445980672 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 445980672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674717472).

445980672 is an abundant number, since it is smaller than the sum of its proper divisors (903454272).

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

445980672 is a wasteful number, since it uses less digits than its factorization.

445980672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 445980672 is about 21118.2544733224. The cubic root of 445980672 is about 764.0210880211.

The spelling of 445980672 in words is "four hundred forty-five million, nine hundred eighty thousand, six hundred seventy-two".