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58993281 = 3217237613
BaseRepresentation
bin1110000100001…
…0101010000001
311010000011120100
43201002222001
5110100241111
65504233013
71314302034
oct341025201
9133004510
1058993281
1130333586
121790b769
13c2b6989
147b9901b
1552a4756
hex3842a81

58993281 has 36 divisors (see below), whose sum is σ = 93118012. Its totient is φ = 35956224.

The previous prime is 58993241. The next prime is 58993289. The reversal of 58993281 is 18239985.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1476225 + 57517056 = 1215^2 + 7584^2 .

It is a de Polignac number, because none of the positive numbers 2k-58993281 is a prime.

It is a super-2 number, since 2×589932812 = 6960414406289922, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (58993289) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95931 + ... + 96543.

Almost surely, 258993281 is an apocalyptic number.

58993281 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

58993281 is a deficient number, since it is larger than the sum of its proper divisors (34124731).

58993281 is a wasteful number, since it uses less digits than its factorization.

58993281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 670 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 58993281 is about 7680.7083657694. The cubic root of 58993281 is about 389.2848630360.

It can be divided in two parts, 5899 and 3281, that added together give a triangular number (9180 = T135).

The spelling of 58993281 in words is "fifty-eight million, nine hundred ninety-three thousand, two hundred eighty-one".

Divisors: 1 3 9 17 37 51 111 153 289 333 613 629 867 1839 1887 2601 5517 5661 10421 10693 22681 31263 32079 68043 93789 96237 177157 204129 385577 531471 1156731 1594413 3470193 6554809 19664427 58993281