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83193957 = 32711120049
BaseRepresentation
bin1001111010101…
…11000001100101
312210112200122200
410331113001211
5132244201312
612131045113
72030064660
oct475270145
9183480580
1083193957
1142a62940
1223a40799
131430b0c2
14b0986d7
1574850dc
hex4f57065

83193957 has 24 divisors (see below), whose sum is σ = 149822400. Its totient is φ = 43217280.

The previous prime is 83193919. The next prime is 83193959. The reversal of 83193957 is 75939138.

It is a happy number.

It is not a de Polignac number, because 83193957 - 224 = 66416741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83193959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59332 + ... + 60717.

It is an arithmetic number, because the mean of its divisors is an integer number (6242600).

Almost surely, 283193957 is an apocalyptic number.

It is an amenable number.

83193957 is a deficient number, since it is larger than the sum of its proper divisors (66628443).

83193957 is a wasteful number, since it uses less digits than its factorization.

83193957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120073 (or 120070 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 83193957 is about 9121.0721409273. The cubic root of 83193957 is about 436.5465835980.

The spelling of 83193957 in words is "eighty-three million, one hundred ninety-three thousand, nine hundred fifty-seven".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 120049 360147 840343 1080441 1320539 2521029 3961617 7563087 9243773 11884851 27731319 83193957