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39000093 = 3119071303
BaseRepresentation
bin1001010011000…
…1100000011101
32201101102001220
42110301200131
534441000333
63511523553
7652331616
oct224614035
981342056
1039000093
1120018390
12110895b9
1381066a2
145272c0d
1536558b3
hex253181d

39000093 has 16 divisors (see below), whose sum is σ = 56833536. Its totient is φ = 23592240.

The previous prime is 39000079. The next prime is 39000107.

39000093 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (39000079) and next prime (39000107).

It is not a de Polignac number, because 39000093 - 218 = 38737949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39000053) 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 15 ways as a sum of consecutive naturals, for example, 29280 + ... + 30582.

It is an arithmetic number, because the mean of its divisors is an integer number (3552096).

Almost surely, 239000093 is an apocalyptic number.

39000093 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

39000093 is a deficient number, since it is larger than the sum of its proper divisors (17833443).

39000093 is a wasteful number, since it uses less digits than its factorization.

39000093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224.

The product of its (nonzero) digits is 729, while the sum is 24.

The square root of 39000093 is about 6245.0054443531. The cubic root of 39000093 is about 339.1214138590.

It can be divided in two parts, 390000 and 93, that added together give a palindrome (390093).

The spelling of 39000093 in words is "thirty-nine million, ninety-three", and thus it is an aban number and an uban number.

Divisors: 1 3 11 33 907 1303 2721 3909 9977 14333 29931 42999 1181821 3545463 13000031 39000093