Search a number
-
+
29200537 is a prime number
BaseRepresentation
bin110111101100…
…1000010011001
32000221112121101
41233121002121
524433404122
62521511401
7503125522
oct157310231
960845541
1029200537
1115534883
129942561
136085132
143c41849
15286c027
hex1bd9099

29200537 has 2 divisors, whose sum is σ = 29200538. Its totient is φ = 29200536.

The previous prime is 29200463. The next prime is 29200553. The reversal of 29200537 is 73500292.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27709696 + 1490841 = 5264^2 + 1221^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-29200537 is a prime.

It is a super-2 number, since 2×292005372 = 1705342722176738, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (29200037) 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, 14600268 + 14600269.

It is an arithmetic number, because the mean of its divisors is an integer number (14600269).

Almost surely, 229200537 is an apocalyptic number.

It is an amenable number.

29200537 is a deficient number, since it is larger than the sum of its proper divisors (1).

29200537 is an equidigital number, since it uses as much as digits as its factorization.

29200537 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 28.

The square root of 29200537 is about 5403.7521223683. The cubic root of 29200537 is about 307.9382325398.

The spelling of 29200537 in words is "twenty-nine million, two hundred thousand, five hundred thirty-seven".