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37050149 is a prime number
BaseRepresentation
bin1000110101010…
…1011100100101
32120201100020202
42031111130211
533441101044
63402040245
7626630633
oct215253445
976640222
1037050149
1119a06364
12104a9085
1378a2c86
144cc6353
1533bcc4e
hex2355725

37050149 has 2 divisors, whose sum is σ = 37050150. Its totient is φ = 37050148.

The previous prime is 37050137. The next prime is 37050163. The reversal of 37050149 is 94105073.

37050149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27899524 + 9150625 = 5282^2 + 3025^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-37050149 is a prime.

It is a super-3 number, since 3×370501493 (a number of 24 digits) contains 333 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37050049) 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 as a sum of consecutive naturals, namely, 18525074 + 18525075.

It is an arithmetic number, because the mean of its divisors is an integer number (18525075).

Almost surely, 237050149 is an apocalyptic number.

It is an amenable number.

37050149 is a deficient number, since it is larger than the sum of its proper divisors (1).

37050149 is an equidigital number, since it uses as much as digits as its factorization.

37050149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 37050149 is about 6086.8833568584. The cubic root of 37050149 is about 333.3726645812.

The spelling of 37050149 in words is "thirty-seven million, fifty thousand, one hundred forty-nine".