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83813353 = 13338149
BaseRepresentation
bin1001111111011…
…10001111101001
312211201011022021
410333232033221
5132424011403
612152224441
72035254541
oct477561751
9184634267
1083813353
1143346238
122409b121
1314497000
14b1ba321
1575588bd
hex4fee3e9

83813353 has 8 divisors (see below), whose sum is σ = 90797000. Its totient is φ = 77364144.

The previous prime is 83813333. The next prime is 83813371. The reversal of 83813353 is 35331838.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9715689 + 74097664 = 3117^2 + 8608^2 .

It is not a de Polignac number, because 83813353 - 217 = 83682281 is a prime.

It is a super-2 number, since 2×838133532 = 14049356282205218, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83813333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16878 + ... + 21271.

It is an arithmetic number, because the mean of its divisors is an integer number (11349625).

Almost surely, 283813353 is an apocalyptic number.

It is an amenable number.

83813353 is a deficient number, since it is larger than the sum of its proper divisors (6983647).

83813353 is an equidigital number, since it uses as much as digits as its factorization.

83813353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38188 (or 38162 counting only the distinct ones).

The product of its digits is 25920, while the sum is 34.

The square root of 83813353 is about 9154.9632986703. The cubic root of 83813353 is about 437.6272987932.

The spelling of 83813353 in words is "eighty-three million, eight hundred thirteen thousand, three hundred fifty-three".

Divisors: 1 13 169 2197 38149 495937 6447181 83813353