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3000024993 = 374725711827
BaseRepresentation
bin1011001011010000…
…1011111110100001
321202002002001121210
42302310023332201
522121001244433
61213404540333
7134225535360
oct26264137641
97662061553
103000024993
1112aa4881a9
126b88516a9
1338a6c2a24
142066117d7
1512859b463
hexb2d0bfa1

3000024993 has 32 divisors (see below), whose sum is σ = 4687294464. Its totient is φ = 1671155712.

The previous prime is 3000024991. The next prime is 3000024997. The reversal of 3000024993 is 3994200003.

It is not a de Polignac number, because 3000024993 - 21 = 3000024991 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3000024993.

It is not an unprimeable number, because it can be changed into a prime (3000024991) 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, 247746 + ... + 259572.

It is an arithmetic number, because the mean of its divisors is an integer number (146477952).

Almost surely, 23000024993 is an apocalyptic number.

It is an amenable number.

3000024993 is a deficient number, since it is larger than the sum of its proper divisors (1687269471).

3000024993 is a wasteful number, since it uses less digits than its factorization.

3000024993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12141.

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 3000024993 is about 54772.4839038728. The cubic root of 3000024993 is about 1442.2535754233.

Adding to 3000024993 its reverse (3994200003), we get a palindrome (6994224996).

The spelling of 3000024993 in words is "three billion, twenty-four thousand, nine hundred ninety-three".

Divisors: 1 3 7 21 47 141 257 329 771 987 1799 5397 11827 12079 35481 36237 82789 84553 248367 253659 555869 1667607 3039539 3891083 9118617 11673249 21276773 63830319 142858333 428574999 1000008331 3000024993