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445073104 = 24715126317
BaseRepresentation
bin11010100001110…
…100011011010000
31011000111001112001
4122201310123100
51402414314404
6112055243344
714013026140
oct3241643320
91130431461
10445073104
11209261013
12105079554
1371293288
1443178920
15291187a4
hex1a8746d0

445073104 has 40 divisors (see below), whose sum is σ = 992083328. Its totient is φ = 189475200.

The previous prime is 445073087. The next prime is 445073117. The reversal of 445073104 is 401370544.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3754 + ... + 30070.

Almost surely, 2445073104 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 445073104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496041664).

445073104 is an abundant number, since it is smaller than the sum of its proper divisors (547010224).

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

445073104 is a wasteful number, since it uses less digits than its factorization.

445073104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26483 (or 26477 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 445073104 is about 21096.7557695490. The cubic root of 445073104 is about 763.5024766234.

The spelling of 445073104 in words is "four hundred forty-five million, seventy-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 151 302 604 1057 1208 2114 2416 4228 8456 16912 26317 52634 105268 184219 210536 368438 421072 736876 1473752 2947504 3973867 7947734 15895468 27817069 31790936 55634138 63581872 111268276 222536552 445073104