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4449384225 = 32521113612267
BaseRepresentation
bin1000010010011010…
…00011011100100001
3102111002022010201100
410021031003130201
533103020243400
62013301425013
7215155066446
oct41115033441
912432263640
104449384225
11198361a250
12a4210b169
1355ba64040
14302cd19cd
151b0941100
hex109343721

4449384225 has 144 divisors (see below), whose sum is σ = 9520265664. Its totient is φ = 1957824000.

The previous prime is 4449384221. The next prime is 4449384253. The reversal of 4449384225 is 5224839444.

4449384225 is a `hidden beast` number, since 4 + 4 + 49 + 384 + 225 = 666.

It is not a de Polignac number, because 4449384225 - 22 = 4449384221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4449384221) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1961542 + ... + 1963808.

It is an arithmetic number, because the mean of its divisors is an integer number (66112956).

Almost surely, 24449384225 is an apocalyptic number.

4449384225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4449384225 is an abundant number, since it is smaller than the sum of its proper divisors (5070881439).

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

4449384225 is a wasteful number, since it uses less digits than its factorization.

4449384225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2360 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 4449384225 is about 66703.7047321961. The cubic root of 4449384225 is about 1644.7502846771.

The spelling of 4449384225 in words is "four billion, four hundred forty-nine million, three hundred eighty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 13 15 25 33 39 45 55 61 65 75 99 117 143 165 183 195 225 275 305 325 429 495 549 585 671 715 793 825 915 975 1287 1525 2013 2145 2267 2379 2475 2745 2925 3355 3575 3965 4575 6039 6435 6801 7137 8723 10065 10725 11335 11895 13725 16775 19825 20403 24937 26169 29471 30195 32175 34005 35685 43615 50325 56675 59475 74811 78507 88413 102015 124685 130845 138287 147355 150975 170025 178425 218075 224433 265239 324181 374055 392535 414861 442065 510075 623425 654225 691435 736775 972543 1122165 1244583 1326195 1521157 1620905 1797731 1870275 1962675 2074305 2210325 2917629 3457175 4563471 4862715 5393193 5610825 6222915 6630975 7605785 8104525 8988655 10371525 13690413 14588145 16179579 19775041 22817355 24313575 26965965 31114575 38028925 44943275 59325123 68452065 72940725 80897895 98875205 114086775 134829825 177975369 296625615 342260325 404489475 494376025 889876845 1483128075 4449384225