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83193877 = 1311356633
BaseRepresentation
bin1001111010101…
…11000000010101
312210112200112201
410331113000111
5132244201002
612131044501
72030064514
oct475270025
9183480481
1083193877
1142a62878
1223a40731
131430b060
14b09867b
157485087
hex4f57015

83193877 has 8 divisors (see below), whose sum is σ = 90387864. Its totient is φ = 76113408.

The previous prime is 83193857. The next prime is 83193881. The reversal of 83193877 is 77839138.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 128881 + 83064996 = 359^2 + 9114^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 83193877 - 215 = 83161109 is a prime.

It is a super-2 number, since 2×831938772 = 13842442340582258, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83193827) 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 7 ways as a sum of consecutive naturals, for example, 26848 + ... + 29785.

It is an arithmetic number, because the mean of its divisors is an integer number (11298483).

Almost surely, 283193877 is an apocalyptic number.

It is an amenable number.

83193877 is a deficient number, since it is larger than the sum of its proper divisors (7193987).

83193877 is a wasteful number, since it uses less digits than its factorization.

83193877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56759.

The product of its digits is 254016, while the sum is 46.

The square root of 83193877 is about 9121.0677554769. The cubic root of 83193877 is about 436.5464436691.

The spelling of 83193877 in words is "eighty-three million, one hundred ninety-three thousand, eight hundred seventy-seven".

Divisors: 1 13 113 1469 56633 736229 6399529 83193877