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39792093 = 31123103509
BaseRepresentation
bin1001011111001…
…0110111011101
32202212122111020
42113302313131
540141321333
63540514353
7662140635
oct227626735
982778436
1039792093
1120509430
12113ab9b9
138323023
1453db6c5
1537603b3
hex25f2ddd

39792093 has 32 divisors (see below), whose sum is σ = 61102080. Its totient is φ = 22799040.

The previous prime is 39792073. The next prime is 39792097. The reversal of 39792093 is 39029793.

It is not a de Polignac number, because 39792093 - 210 = 39791069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39792097) 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 31 ways as a sum of consecutive naturals, for example, 77923 + ... + 78431.

It is an arithmetic number, because the mean of its divisors is an integer number (1909440).

Almost surely, 239792093 is an apocalyptic number.

39792093 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

39792093 is a deficient number, since it is larger than the sum of its proper divisors (21309987).

39792093 is a wasteful number, since it uses less digits than its factorization.

39792093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649.

The product of its (nonzero) digits is 91854, while the sum is 42.

The square root of 39792093 is about 6308.0974152275. The cubic root of 39792093 is about 341.4016331585.

The spelling of 39792093 in words is "thirty-nine million, seven hundred ninety-two thousand, ninety-three".

Divisors: 1 3 11 23 33 69 103 253 309 509 759 1133 1527 2369 3399 5599 7107 11707 16797 26059 35121 52427 78177 128777 157281 386331 576697 1205821 1730091 3617463 13264031 39792093