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59116993 = 1329233673
BaseRepresentation
bin1110000110000…
…0110111000001
311010020110021021
43201200313001
5110113220433
65511025441
71315325515
oct341406701
9133213237
1059116993
1130408521
121796b281
13c32b090
147bcc145
1552cb22d
hex3860dc1

59116993 has 16 divisors (see below), whose sum is σ = 66240720. Its totient is φ = 52383744.

The previous prime is 59116987. The next prime is 59117011. The reversal of 59116993 is 39961195.

It can be written as a sum of positive squares in 8 ways, for example, as 10284849 + 48832144 = 3207^2 + 6988^2 .

It is not a de Polignac number, because 59116993 - 29 = 59116481 is a prime.

It is a super-2 number, since 2×591169932 = 6989637722724098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (59116903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87505 + ... + 88177.

It is an arithmetic number, because the mean of its divisors is an integer number (4140045).

Almost surely, 259116993 is an apocalyptic number.

It is an amenable number.

59116993 is a deficient number, since it is larger than the sum of its proper divisors (7123727).

59116993 is a wasteful number, since it uses less digits than its factorization.

59116993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948.

The product of its digits is 65610, while the sum is 43.

The square root of 59116993 is about 7688.7575719358. The cubic root of 59116993 is about 389.5567899582.

The spelling of 59116993 in words is "fifty-nine million, one hundred sixteen thousand, nine hundred ninety-three".

Divisors: 1 13 29 233 377 673 3029 6757 8749 19517 87841 156809 253721 2038517 4547461 59116993