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82451933 is a prime number
BaseRepresentation
bin1001110101000…
…01110111011101
312202010222210022
410322201313131
5132101430213
612103121525
72020554434
oct472416735
9182128708
1082451933
11425a63a3
12237432a5
131410b435
14ad4411b
15738a308
hex4ea1ddd

82451933 has 2 divisors, whose sum is σ = 82451934. Its totient is φ = 82451932.

The previous prime is 82451903. The next prime is 82451939. The reversal of 82451933 is 33915428.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52388644 + 30063289 = 7238^2 + 5483^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82451933 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82451893 and 82451902.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82451939) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41225966 + 41225967.

It is an arithmetic number, because the mean of its divisors is an integer number (41225967).

Almost surely, 282451933 is an apocalyptic number.

It is an amenable number.

82451933 is a deficient number, since it is larger than the sum of its proper divisors (1).

82451933 is an equidigital number, since it uses as much as digits as its factorization.

82451933 is an evil number, because the sum of its binary digits is even.

The product of its digits is 25920, while the sum is 35.

The square root of 82451933 is about 9080.3046755051. The cubic root of 82451933 is about 435.2448227701.

The spelling of 82451933 in words is "eighty-two million, four hundred fifty-one thousand, nine hundred thirty-three".