Search a number
-
+
39240048337 = 72800817313
BaseRepresentation
bin100100100010111000…
…111001111011010001
310202021201001222210121
4210202320321323101
51120330423021322
630005430230241
72556255623200
oct444270717321
9122251058717
1039240048337
1115706a91116
1277314b5381
1339147b2219
141c836a9237
151049e20ec7
hex922e39ed1

39240048337 has 6 divisors (see below), whose sum is σ = 45646586898. Its totient is φ = 33634327104.

The previous prime is 39240048301. The next prime is 39240048349. The reversal of 39240048337 is 73384004293.

39240048337 is digitally balanced in base 2, 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 only one way, i.e., 29768671296 + 9471377041 = 172536^2 + 97321^2 .

It is a de Polignac number, because none of the positive numbers 2k-39240048337 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 39240048293 and 39240048302.

It is not an unprimeable number, because it can be changed into a prime (39240048377) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 400408608 + ... + 400408705.

It is an arithmetic number, because the mean of its divisors is an integer number (7607764483).

Almost surely, 239240048337 is an apocalyptic number.

It is an amenable number.

39240048337 is a deficient number, since it is larger than the sum of its proper divisors (6406538561).

39240048337 is an equidigital number, since it uses as much as digits as its factorization.

39240048337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800817327 (or 800817320 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The spelling of 39240048337 in words is "thirty-nine billion, two hundred forty million, forty-eight thousand, three hundred thirty-seven".

Divisors: 1 7 49 800817313 5605721191 39240048337