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4551045440 = 26535340289
BaseRepresentation
bin1000011110100001…
…10111000101000000
3102202011121001200112
410033100313011000
533310031423230
62031332410452
7220531151024
oct41720670500
912664531615
104551045440
111a25a45887
12a70176a28
13576b399c6
143125d6384
151b9822d95
hex10f437140

4551045440 has 56 divisors (see below), whose sum is σ = 10868146920. Its totient is φ = 1815216128.

The previous prime is 4551045439. The next prime is 4551045449. The reversal of 4551045440 is 445401554.

It can be written as a sum of positive squares in 4 ways, for example, as 1377300544 + 3173744896 = 37112^2 + 56336^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4551045397 and 4551045406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4551045449) 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 7 ways as a sum of consecutive naturals, for example, 92816 + ... + 133104.

Almost surely, 24551045440 is an apocalyptic number.

4551045440 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 4551045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5434073460).

4551045440 is an abundant number, since it is smaller than the sum of its proper divisors (6317101480).

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

4551045440 is a wasteful number, since it uses less digits than its factorization.

4551045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40659 (or 40649 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 32.

The square root of 4551045440 is about 67461.4366879331. The cubic root of 4551045440 is about 1657.1826988892.

Adding to 4551045440 its reverse (445401554), we get a palindrome (4996446994).

The spelling of 4551045440 in words is "four billion, five hundred fifty-one million, forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 353 706 1412 1765 2824 3530 5648 7060 11296 14120 22592 28240 40289 56480 80578 112960 161156 201445 322312 402890 644624 805780 1289248 1611560 2578496 3223120 6446240 12892480 14222017 28444034 56888068 71110085 113776136 142220170 227552272 284440340 455104544 568880680 910209088 1137761360 2275522720 4551045440