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83919017 = 7213472803
BaseRepresentation
bin1010000000010…
…00000010101001
312211220112020202
411000020002221
5132440402032
612154401545
72036204600
oct500100251
9184815222
1083919017
1143408666
12241302b5
1314503130
14b206a37
157579d62
hex50080a9

83919017 has 24 divisors (see below), whose sum is σ = 107404416. Its totient is φ = 64961568.

The previous prime is 83919007. The next prime is 83919023. The reversal of 83919017 is 71091938.

It is not a de Polignac number, because 83919017 - 24 = 83919001 is a prime.

It is a super-3 number, since 3×839190173 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (83919007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28538 + ... + 31340.

It is an arithmetic number, because the mean of its divisors is an integer number (4475184).

Almost surely, 283919017 is an apocalyptic number.

It is an amenable number.

83919017 is a deficient number, since it is larger than the sum of its proper divisors (23485399).

83919017 is a wasteful number, since it uses less digits than its factorization.

83919017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 38.

The square root of 83919017 is about 9160.7323397204. The cubic root of 83919017 is about 437.8111280223.

The spelling of 83919017 in words is "eighty-three million, nine hundred nineteen thousand, seventeen".

Divisors: 1 7 13 47 49 91 329 611 637 2303 2803 4277 19621 29939 36439 131741 137347 255073 922187 1712633 1785511 6455309 11988431 83919017