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5732849601 = 34296140009
BaseRepresentation
bin1010101011011010…
…00101011111000001
3112210112100221020000
411111231011133001
543220102141401
62344510510213
7262031263143
oct52555053701
915715327200
105732849601
112482053836
12113bb05369
1370492cccb
143c554ac93
15238467186
hex155b457c1

5732849601 has 40 divisors (see below), whose sum is σ = 9004650600. Its totient is φ = 3629525760.

The previous prime is 5732849579. The next prime is 5732849621. The reversal of 5732849601 is 1069482375.

5732849601 is a `hidden beast` number, since 5 + 7 + 32 + 8 + 4 + 9 + 601 = 666.

5732849601 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1225070001 + 4507779600 = 35001^2 + 67140^2 .

It is not a de Polignac number, because 5732849601 - 213 = 5732841409 is a prime.

5732849601 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (5732849621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 123285 + ... + 163293.

It is an arithmetic number, because the mean of its divisors is an integer number (225116265).

It is a 1-persistent number, because it is pandigital, but 2⋅5732849601 = 11465699202 is not.

Almost surely, 25732849601 is an apocalyptic number.

It is an amenable number.

5732849601 is a deficient number, since it is larger than the sum of its proper divisors (3271800999).

5732849601 is a wasteful number, since it uses less digits than its factorization.

5732849601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40111 (or 40102 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5732849601 is about 75715.5836073394. The cubic root of 5732849601 is about 1789.7409819442.

It can be divided in two parts, 57328 and 49601, that added together give a square (106929 = 3272).

The spelling of 5732849601 in words is "five billion, seven hundred thirty-two million, eight hundred forty-nine thousand, six hundred one".

Divisors: 1 3 9 27 29 61 81 87 183 261 549 783 1647 1769 2349 4941 5307 15921 40009 47763 120027 143289 360081 1080243 1160261 2440549 3240729 3480783 7321647 10442349 21964941 31327047 65894823 70775921 93981141 197684469 212327763 636983289 1910949867 5732849601