Search a number
-
+
39900993 = 3111209121
BaseRepresentation
bin1001100000110…
…1011101000001
32210002011212120
42120031131001
540203312433
63543114453
7663103266
oct230153501
983064776
1039900993
1120583230
1211442a29
138360772
14542926d
1537827b3
hex260d741

39900993 has 8 divisors (see below), whose sum is σ = 58037856. Its totient is φ = 24182400.

The previous prime is 39900967. The next prime is 39901003.

39900993 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-39900993 is a prime.

It is a super-3 number, since 3×399009933 (a number of 24 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (39900943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 604528 + ... + 604593.

It is an arithmetic number, because the mean of its divisors is an integer number (7254732).

Almost surely, 239900993 is an apocalyptic number.

39900993 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

39900993 is a deficient number, since it is larger than the sum of its proper divisors (18136863).

39900993 is a wasteful number, since it uses less digits than its factorization.

39900993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209135.

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

The square root of 39900993 is about 6316.7232803092. The cubic root of 39900993 is about 341.7127902304.

The spelling of 39900993 in words is "thirty-nine million, nine hundred thousand, nine hundred ninety-three".

Divisors: 1 3 11 33 1209121 3627363 13300331 39900993