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4450043440 = 2451633311031
BaseRepresentation
bin1000010010011111…
…00100011000110000
3102111010112121222201
410021033210120300
533103202342230
62013323512544
7215163513403
oct41117443060
912433477881
104450043440
111983a2a557
12a42388754
1355bc350cb
14303023d3a
151b0a215ca
hex1093e4630

4450043440 has 80 divisors (see below), whose sum is σ = 10451402496. Its totient is φ = 1762041600.

The previous prime is 4450043419. The next prime is 4450043449. The reversal of 4450043440 is 443400544.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4450043399 and 4450043408.

It is not an unprimeable number, because it can be changed into a prime (4450043449) 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 15 ways as a sum of consecutive naturals, for example, 4315725 + ... + 4316755.

Almost surely, 24450043440 is an apocalyptic number.

4450043440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4450043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225701248).

4450043440 is an abundant number, since it is smaller than the sum of its proper divisors (6001359056).

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

4450043440 is a wasteful number, since it uses less digits than its factorization.

4450043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

The square root of 4450043440 is about 66708.6459164028. The cubic root of 4450043440 is about 1644.8315086894.

Adding to 4450043440 its reverse (443400544), we get a palindrome (4893443984).

The spelling of 4450043440 in words is "four billion, four hundred fifty million, forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 331 652 662 815 1031 1304 1324 1630 1655 2062 2608 2648 3260 3310 4124 5155 5296 6520 6620 8248 10310 13040 13240 16496 20620 26480 41240 53953 82480 107906 168053 215812 269765 336106 341261 431624 539530 672212 682522 840265 863248 1079060 1344424 1365044 1680530 1706305 2158120 2688848 2730088 3361060 3412610 4316240 5460176 6722120 6825220 13444240 13650440 27300880 55625543 111251086 222502172 278127715 445004344 556255430 890008688 1112510860 2225021720 4450043440