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10249937 is a prime number
BaseRepresentation
bin100111000110…
…011011010001
3201021202021022
4213012123101
510110444222
61003405225
7153060125
oct47063321
921252238
1010249937
115870a25
123523815
13217b569
14150b585
15d77042
hex9c66d1

10249937 has 2 divisors, whose sum is σ = 10249938. Its totient is φ = 10249936.

The previous prime is 10249879. The next prime is 10249951. The reversal of 10249937 is 73994201.

10249937 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6345361 + 3904576 = 2519^2 + 1976^2 .

It is a cyclic number.

It is not a de Polignac number, because 10249937 - 216 = 10184401 is a prime.

It is a super-2 number, since 2×102499372 = 210122417007938, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10249897 and 10249906.

It is not a weakly prime, because it can be changed into another prime (10249957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5124968 + 5124969.

It is an arithmetic number, because the mean of its divisors is an integer number (5124969).

Almost surely, 210249937 is an apocalyptic number.

It is an amenable number.

10249937 is a deficient number, since it is larger than the sum of its proper divisors (1).

10249937 is an equidigital number, since it uses as much as digits as its factorization.

10249937 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 10249937 is about 3201.5522797543. The cubic root of 10249937 is about 217.2236292431.

The spelling of 10249937 in words is "ten million, two hundred forty-nine thousand, nine hundred thirty-seven".