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40029137 is a prime number
BaseRepresentation
bin1001100010110…
…0101111010001
32210022200122122
42120230233101
540221413022
63545544025
7664146011
oct230545721
983280578
1040029137
1120660535
12114a5015
1383a6ba5
14545dc41
1537aa742
hex262cbd1

40029137 has 2 divisors, whose sum is σ = 40029138. Its totient is φ = 40029136.

The previous prime is 40029133. The next prime is 40029149. The reversal of 40029137 is 73192004.

40029137 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., 29986576 + 10042561 = 5476^2 + 3169^2 .

It is a cyclic number.

It is not a de Polignac number, because 40029137 - 22 = 40029133 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (40029133) 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, 20014568 + 20014569.

It is an arithmetic number, because the mean of its divisors is an integer number (20014569).

Almost surely, 240029137 is an apocalyptic number.

It is an amenable number.

40029137 is a deficient number, since it is larger than the sum of its proper divisors (1).

40029137 is an equidigital number, since it uses as much as digits as its factorization.

40029137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 40029137 is about 6326.8583831156. The cubic root of 40029137 is about 342.0782084628.

The spelling of 40029137 in words is "forty million, twenty-nine thousand, one hundred thirty-seven".