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390762114249 = 313293105132537
BaseRepresentation
bin1011010111110110011…
…11001010110011001001
31101100121212212011002010
411223323033022303021
522400240100123444
6455302540130133
740142310111333
oct5537317126311
91340555764063
10390762114249
111407a3032081
1263895536949
132ab057ca660
1414cad346453
15a2708cc2b9
hex5afb3cacc9

390762114249 has 32 divisors (see below), whose sum is σ = 563562324864. Its totient is φ = 239412902400.

The previous prime is 390762114233. The next prime is 390762114269. The reversal of 390762114249 is 942411267093.

It is not a de Polignac number, because 390762114249 - 24 = 390762114233 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 390762114198 and 390762114207.

It is not an unprimeable number, because it can be changed into a prime (390762114229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11993509 + ... + 12026045.

It is an arithmetic number, because the mean of its divisors is an integer number (17611322652).

Almost surely, 2390762114249 is an apocalyptic number.

390762114249 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

390762114249 is a deficient number, since it is larger than the sum of its proper divisors (172800210615).

390762114249 is a wasteful number, since it uses less digits than its factorization.

390762114249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33897.

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 390762114249 in words is "three hundred ninety billion, seven hundred sixty-two million, one hundred fourteen thousand, two hundred forty-nine".

Divisors: 1 3 13 39 293 879 1051 3153 3809 11427 13663 32537 40989 97611 307943 422981 923829 1268943 4003259 9533341 12009777 28600023 34196387 102589161 123933433 371800299 444553031 1333659093 10019541391 30058624173 130254038083 390762114249