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83993193 = 36292137
BaseRepresentation
bin1010000000110…
…10001001101001
312212001022000000
411000122021221
5133000240233
612200133213
72036634054
oct500321151
9185038000
1083993193
1143459369
1224167209
131452ab1b
14b225a9b
157591d13
hex501a269

83993193 has 42 divisors (see below), whose sum is σ = 131376414. Its totient is φ = 53669952.

The previous prime is 83993191. The next prime is 83993197. The reversal of 83993193 is 39139938.

It can be written as a sum of positive squares in 3 ways, for example, as 16621929 + 67371264 = 4077^2 + 8208^2 .

It is not a de Polignac number, because 83993193 - 21 = 83993191 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83993191) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 613021 + ... + 613157.

Almost surely, 283993193 is an apocalyptic number.

It is an amenable number.

83993193 is a deficient number, since it is larger than the sum of its proper divisors (47383221).

83993193 is an equidigital number, since it uses as much as digits as its factorization.

83993193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 169 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 83993193 is about 9164.7800300935. The cubic root of 83993193 is about 437.9400837538.

The spelling of 83993193 in words is "eighty-three million, nine hundred ninety-three thousand, one hundred ninety-three".

Divisors: 1 3 9 27 29 81 87 137 243 261 411 729 783 841 1233 2349 2523 3699 3973 7047 7569 11097 11919 21141 22707 33291 35757 68121 99873 107271 115217 204363 321813 345651 613089 965439 1036953 2896317 3110859 9332577 27997731 83993193