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83133981 = 3272945503
BaseRepresentation
bin1001111010010…
…00011000011101
312210102122101100
410331020120131
5132240241411
612125503313
72026425060
oct475103035
9183378340
1083133981
1142a21877
1223a11b39
13142b9a08
14b0808d7
157472456
hex4f4861d

83133981 has 24 divisors (see below), whose sum is σ = 141972480. Its totient is φ = 45866016.

The previous prime is 83133959. The next prime is 83133997. The reversal of 83133981 is 18933138.

It is not a de Polignac number, because 83133981 - 26 = 83133917 is a prime.

It is a super-2 number, since 2×831339812 = 13822517593816722, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83133901) 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 23 ways as a sum of consecutive naturals, for example, 20925 + ... + 24578.

It is an arithmetic number, because the mean of its divisors is an integer number (5915520).

Almost surely, 283133981 is an apocalyptic number.

It is an amenable number.

83133981 is a deficient number, since it is larger than the sum of its proper divisors (58838499).

83133981 is a wasteful number, since it uses less digits than its factorization.

83133981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45545 (or 45542 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 83133981 is about 9117.7837767738. The cubic root of 83133981 is about 436.4416536523.

The spelling of 83133981 in words is "eighty-three million, one hundred thirty-three thousand, nine hundred eighty-one".

Divisors: 1 3 7 9 21 29 63 87 203 261 609 1827 45503 136509 318521 409527 955563 1319587 2866689 3958761 9237109 11876283 27711327 83133981