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83731893 = 3710338711
BaseRepresentation
bin1001111110110…
…10010110110101
312211120000120020
410333122112311
5132413410033
612150355353
72034465210
oct477322665
9184500506
1083731893
11432a0013
122405bb59
1314468bcb
14b198777
15753e6b3
hex4fda5b5

83731893 has 16 divisors (see below), whose sum is σ = 128833536. Its totient is φ = 47381040.

The previous prime is 83731889. The next prime is 83731897. The reversal of 83731893 is 39813738.

It is an interprime number because it is at equal distance from previous prime (83731889) and next prime (83731897).

It is not a de Polignac number, because 83731893 - 22 = 83731889 is a prime.

It is a super-3 number, since 3×837318933 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83731897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17193 + ... + 21518.

It is an arithmetic number, because the mean of its divisors is an integer number (8052096).

Almost surely, 283731893 is an apocalyptic number.

It is an amenable number.

83731893 is a deficient number, since it is larger than the sum of its proper divisors (45101643).

83731893 is a wasteful number, since it uses less digits than its factorization.

83731893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38824.

The product of its digits is 108864, while the sum is 42.

The square root of 83731893 is about 9150.5132642929. The cubic root of 83731893 is about 437.4854730415.

The spelling of 83731893 in words is "eighty-three million, seven hundred thirty-one thousand, eight hundred ninety-three".

Divisors: 1 3 7 21 103 309 721 2163 38711 116133 270977 812931 3987233 11961699 27910631 83731893