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93066039 = 32115317737
BaseRepresentation
bin1011000110000…
…01001100110111
320111010020121100
411203001030313
5142311103124
613122421143
72210022363
oct543011467
9214106540
1093066039
1148595990
12272017b3
1316386681
14c5082a3
1582851c9
hex58c1337

93066039 has 24 divisors (see below), whose sum is σ = 149424912. Its totient is φ = 55336320.

The previous prime is 93066011. The next prime is 93066049.

93066039 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 93066039 - 215 = 93033271 is a prime.

It is a super-2 number, since 2×930660392 = 17322575230299042, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 93065994 and 93066012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93066049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3622 + ... + 14115.

It is an arithmetic number, because the mean of its divisors is an integer number (6226038).

Almost surely, 293066039 is an apocalyptic number.

93066039 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

93066039 is a deficient number, since it is larger than the sum of its proper divisors (56358873).

93066039 is a wasteful number, since it uses less digits than its factorization.

93066039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17807 (or 17804 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 93066039 is about 9647.0741160209. The cubic root of 93066039 is about 453.1727043490.

The spelling of 93066039 in words is "ninety-three million, sixty-six thousand, thirty-nine".

Divisors: 1 3 9 11 33 53 99 159 477 583 1749 5247 17737 53211 159633 195107 585321 940061 1755963 2820183 8460549 10340671 31022013 93066039