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188430593 = 13731811097
BaseRepresentation
bin10110011101100…
…11100100000001
3111010120021011212
423032303210001
5341214234333
630410415505
74445430221
oct1316634401
9433507155
10188430593
119740076a
1253131595
13300662c0
141b050081
1511821448
hexb3b3901

188430593 has 16 divisors (see below), whose sum is σ = 207030096. Its totient is φ = 170449920.

The previous prime is 188430577. The next prime is 188430607. The reversal of 188430593 is 395034881.

It can be written as a sum of positive squares in 8 ways, for example, as 62362609 + 126067984 = 7897^2 + 11228^2 .

It is a cyclic number.

It is not a de Polignac number, because 188430593 - 24 = 188430577 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 188430593.

It is not an unprimeable number, because it can be changed into a prime (188430503) 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, 171221 + ... + 172317.

It is an arithmetic number, because the mean of its divisors is an integer number (12939381).

Almost surely, 2188430593 is an apocalyptic number.

188430593 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

188430593 is a deficient number, since it is larger than the sum of its proper divisors (18599503).

188430593 is a wasteful number, since it uses less digits than its factorization.

188430593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364.

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 188430593 is about 13727.0023311719. The cubic root of 188430593 is about 573.3024595402.

The spelling of 188430593 in words is "one hundred eighty-eight million, four hundred thirty thousand, five hundred ninety-three".

Divisors: 1 13 73 181 949 1097 2353 13213 14261 80081 171769 198557 1041053 2581241 14494661 188430593