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4485072 = 243414353
BaseRepresentation
bin10001000110111111010000
322102212100210
4101012333100
52122010242
6240044120
753060004
oct21067720
98385323
104485072
112593779
121603640
13c105b7
1484a704
155d8d9c
hex446fd0

4485072 has 80 divisors (see below), whose sum is σ = 12374208. Its totient is φ = 1397760.

The previous prime is 4485043. The next prime is 4485073. The reversal of 4485072 is 2705844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4485073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84598 + ... + 84650.

Almost surely, 24485072 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 4485072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187104).

4485072 is an abundant number, since it is smaller than the sum of its proper divisors (7889136).

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

4485072 is a wasteful number, since it uses less digits than its factorization.

4485072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 4485072 is about 2117.7988573044. The cubic root of 4485072 is about 164.9136003124.

The spelling of 4485072 in words is "four million, four hundred eighty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 43 48 53 82 86 106 123 129 159 164 172 212 246 258 318 328 344 424 492 516 636 656 688 848 984 1032 1272 1763 1968 2064 2173 2279 2544 3526 4346 4558 5289 6519 6837 7052 8692 9116 10578 13038 13674 14104 17384 18232 21156 26076 27348 28208 34768 36464 42312 52152 54696 84624 93439 104304 109392 186878 280317 373756 560634 747512 1121268 1495024 2242536 4485072