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4450199856 = 243612635779
BaseRepresentation
bin1000010010100000…
…01010100100110000
3102111010211120112220
410021100022210300
533103222343411
62013331121040
7215165034414
oct41120124460
912433746486
104450199856
111984027023
12a42443180
1355bc8b36b
14303064d44
151b0a52b06
hex10940a930

4450199856 has 80 divisors (see below), whose sum is σ = 11731272960. Its totient is φ = 1453282560.

The previous prime is 4450199851. The next prime is 4450199867. The reversal of 4450199856 is 6589910544.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4450199799 and 4450199808.

It is not an unprimeable number, because it can be changed into a prime (4450199851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767175 + ... + 772953.

It is an arithmetic number, because the mean of its divisors is an integer number (146640912).

Almost surely, 24450199856 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 4450199856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5865636480).

4450199856 is an abundant number, since it is smaller than the sum of its proper divisors (7281073104).

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

4450199856 is a wasteful number, since it uses less digits than its factorization.

4450199856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6114 (or 6108 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The square root of 4450199856 is about 66709.8182878652. The cubic root of 4450199856 is about 1644.8507800332.

The spelling of 4450199856 in words is "four billion, four hundred fifty million, one hundred ninety-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 263 366 488 526 732 789 976 1052 1464 1578 2104 2928 3156 4208 5779 6312 11558 12624 16043 17337 23116 32086 34674 46232 48129 64172 69348 92464 96258 128344 138696 192516 256688 277392 352519 385032 705038 770064 1057557 1410076 1519877 2115114 2820152 3039754 4230228 4559631 5640304 6079508 8460456 9119262 12159016 16920912 18238524 24318032 36477048 72954096 92712497 185424994 278137491 370849988 556274982 741699976 1112549964 1483399952 2225099928 4450199856