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4449408705 = 33575638363
BaseRepresentation
bin1000010010011010…
…01001011011000001
3102111002100101022000
410021031021123001
533103022034310
62013302134213
7215155231020
oct41115113301
912432311260
104449408705
111983636685
12a42121369
1355ba72221
14302cda8b7
151b09484c0
hex1093496c1

4449408705 has 64 divisors (see below), whose sum is σ = 9057208320. Its totient is φ = 2030159808.

The previous prime is 4449408701. The next prime is 4449408727. The reversal of 4449408705 is 5078049444.

It is not a de Polignac number, because 4449408705 - 22 = 4449408701 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (4449408701) 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 63 ways as a sum of consecutive naturals, for example, 527854 + ... + 536216.

It is an arithmetic number, because the mean of its divisors is an integer number (141518880).

Almost surely, 24449408705 is an apocalyptic number.

4449408705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4449408705 is an abundant number, since it is smaller than the sum of its proper divisors (4607799615).

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

4449408705 is a wasteful number, since it uses less digits than its factorization.

4449408705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8947 (or 8941 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4449408705 is about 66703.8882299975. Note that the first 3 decimals coincide. The cubic root of 4449408705 is about 1644.7533010805.

The spelling of 4449408705 in words is "four billion, four hundred forty-nine million, four hundred eight thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 563 945 1689 2815 3941 5067 8363 8445 11823 15201 19705 25089 25335 35469 41815 58541 59115 75267 76005 106407 125445 175623 177345 225801 292705 376335 526869 532035 878115 1129005 1580607 2634345 4708369 7903035 14125107 23541845 32958583 42375321 70625535 98875749 127125963 164792915 211876605 296627247 494378745 635629815 889881741 1483136235 4449408705