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40736977 is a prime number
BaseRepresentation
bin1001101101100…
…1100011010001
32211122122121221
42123121203101
540412040402
64013045041
71003154461
oct233314321
984578557
1040736977
1120aa4326
1211786781
138594128
1455a5ba1
15389a337
hex26d98d1

40736977 has 2 divisors, whose sum is σ = 40736978. Its totient is φ = 40736976.

The previous prime is 40736929. The next prime is 40737017. The reversal of 40736977 is 77963704.

40736977 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., 30902481 + 9834496 = 5559^2 + 3136^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40736977 is a prime.

It is not a weakly prime, because it can be changed into another prime (40736177) 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, 20368488 + 20368489.

It is an arithmetic number, because the mean of its divisors is an integer number (20368489).

Almost surely, 240736977 is an apocalyptic number.

It is an amenable number.

40736977 is a deficient number, since it is larger than the sum of its proper divisors (1).

40736977 is an equidigital number, since it uses as much as digits as its factorization.

40736977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 222264, while the sum is 43.

The square root of 40736977 is about 6382.5525458080. The cubic root of 40736977 is about 344.0827753978.

It can be divided in two parts, 4073697 and 7, that added together give a palindrome (4073704).

The spelling of 40736977 in words is "forty million, seven hundred thirty-six thousand, nine hundred seventy-seven".