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39099093 = 3112195669
BaseRepresentation
bin1001010100100…
…1101011010101
32201120102212120
42111021223111
540002132333
63514010153
7653223345
oct225115325
981512776
1039099093
1120085800
1211116959
13813c777
14529ad25
153674db3
hex2549ad5

39099093 has 24 divisors (see below), whose sum is σ = 60328800. Its totient is φ = 22445280.

The previous prime is 39099089. The next prime is 39099101.

39099093 is nontrivially palindromic in base 10.

39099093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 39099093 - 22 = 39099089 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39099043) 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 23 ways as a sum of consecutive naturals, for example, 4063 + ... + 9731.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 239099093 is an apocalyptic number.

39099093 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

39099093 is a deficient number, since it is larger than the sum of its proper divisors (21229707).

39099093 is a wasteful number, since it uses less digits than its factorization.

39099093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5713 (or 5702 counting only the distinct ones).

The product of its (nonzero) digits is 59049, while the sum is 42.

The square root of 39099093 is about 6252.9267547285. The cubic root of 39099093 is about 339.4081196035.

The spelling of 39099093 in words is "thirty-nine million, ninety-nine thousand, ninety-three".

Divisors: 1 3 11 19 33 57 121 209 363 627 2299 5669 6897 17007 62359 107711 187077 323133 685949 1184821 2057847 3554463 13033031 39099093