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93088039 = 11172831759
BaseRepresentation
bin1011000110001…
…10100100100111
320111011100210011
411203012210213
5142312304124
613123111051
72210143462
oct543064447
9214140704
1093088039
1148600470
1227212487
13163936a5
14c5122d9
15828b994
hex58c6927

93088039 has 16 divisors (see below), whose sum is σ = 107965440. Its totient is φ = 79320960.

The previous prime is 93088003. The next prime is 93088043.

93088039 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-93088039 is a prime.

It is a super-3 number, since 3×930880393 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 93087992 and 93088010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93082039) 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 15 ways as a sum of consecutive naturals, for example, 52042 + ... + 53800.

It is an arithmetic number, because the mean of its divisors is an integer number (6747840).

Almost surely, 293088039 is an apocalyptic number.

93088039 is a deficient number, since it is larger than the sum of its proper divisors (14877401).

93088039 is a wasteful number, since it uses less digits than its factorization.

93088039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070.

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 93088039 is about 9648.2142907379. The cubic root of 93088039 is about 453.2084102273.

The spelling of 93088039 in words is "ninety-three million, eighty-eight thousand, thirty-nine".

Divisors: 1 11 17 187 283 1759 3113 4811 19349 29903 52921 328933 497797 5475767 8462549 93088039