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83447133 = 37113143271
BaseRepresentation
bin1001111100101…
…00110101011101
312211000112221120
410332110311131
5132330302013
612140321153
72032201050
oct476246535
9184015846
1083447133
1143116080
1223b431b9
1314399403
14b122a97
1574d5123
hex4f94d5d

83447133 has 64 divisors (see below), whose sum is σ = 147062784. Its totient is φ = 40824000.

The previous prime is 83447057. The next prime is 83447153. The reversal of 83447133 is 33174438.

It is not a de Polignac number, because 83447133 - 214 = 83430749 is a prime.

It is a super-3 number, since 3×834471333 (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 83447094 and 83447103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83447153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307788 + ... + 308058.

It is an arithmetic number, because the mean of its divisors is an integer number (2297856).

Almost surely, 283447133 is an apocalyptic number.

It is an amenable number.

83447133 is a deficient number, since it is larger than the sum of its proper divisors (63615651).

83447133 is a wasteful number, since it uses less digits than its factorization.

83447133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366.

The product of its digits is 24192, while the sum is 33.

The square root of 83447133 is about 9134.9402296895. The cubic root of 83447133 is about 436.9889682627.

The spelling of 83447133 in words is "eighty-three million, four hundred forty-seven thousand, one hundred thirty-three".

Divisors: 1 3 7 11 21 31 33 43 77 93 129 217 231 271 301 341 473 651 813 903 1023 1333 1419 1897 2387 2981 3311 3999 5691 7161 8401 8943 9331 9933 11653 14663 20867 25203 27993 34959 43989 58807 62601 81571 92411 102641 128183 176421 244713 277233 307923 361243 384549 646877 897281 1083729 1940631 2528701 2691843 3973673 7586103 11921019 27815711 83447133