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545853728 = 25723371033
BaseRepresentation
bin100000100010010…
…001000100100000
31102001010020112202
4200202101010200
52104214304403
6130055312332
716345452200
oct4042210440
91361106482
10545853728
11260135a92
1213297b6a8
138911b194
14526d0400
1532dc4688
hex20891120

545853728 has 72 divisors (see below), whose sum is σ = 1255025772. Its totient is φ = 233017344.

The previous prime is 545853727. The next prime is 545853767. The reversal of 545853728 is 827358545.

It can be written as a sum of positive squares in 2 ways, for example, as 528448144 + 17405584 = 22988^2 + 4172^2 .

It is not an unprimeable number, because it can be changed into a prime (545853727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 527900 + ... + 528932.

Almost surely, 2545853728 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 545853728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627512886).

545853728 is an abundant number, since it is smaller than the sum of its proper divisors (709172044).

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

545853728 is a wasteful number, since it uses less digits than its factorization.

545853728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1379 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 47.

The square root of 545853728 is about 23363.5127495846. The cubic root of 545853728 is about 817.2572091492.

The spelling of 545853728 in words is "five hundred forty-five million, eight hundred fifty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 337 392 674 784 1033 1348 1568 2066 2359 2696 4132 4718 5392 7231 8264 9436 10784 14462 16513 16528 18872 28924 33026 33056 37744 50617 57848 66052 75488 101234 115696 132104 202468 231392 264208 348121 404936 528416 696242 809872 1392484 1619744 2436847 2784968 4873694 5569936 9747388 11139872 17057929 19494776 34115858 38989552 68231716 77979104 136463432 272926864 545853728