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36768049 is a prime number
BaseRepresentation
bin1000110001000…
…0100100110001
32120012000021121
42030100210301
533403034144
63352022241
7624344323
oct214204461
976160247
1036768049
111983341a
1210391981
137804756
144c51613
153364384
hex2310931

36768049 has 2 divisors, whose sum is σ = 36768050. Its totient is φ = 36768048.

The previous prime is 36768037. The next prime is 36768071. The reversal of 36768049 is 94086763.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27373824 + 9394225 = 5232^2 + 3065^2 .

It is a cyclic number.

It is not a de Polignac number, because 36768049 - 213 = 36759857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36767996 and 36768014.

It is not a weakly prime, because it can be changed into another prime (36763049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18384024 + 18384025.

It is an arithmetic number, because the mean of its divisors is an integer number (18384025).

Almost surely, 236768049 is an apocalyptic number.

It is an amenable number.

36768049 is a deficient number, since it is larger than the sum of its proper divisors (1).

36768049 is an equidigital number, since it uses as much as digits as its factorization.

36768049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 36768049 is about 6063.6663001851. Note that the first 3 decimals coincide. The cubic root of 36768049 is about 332.5244077283.

The spelling of 36768049 in words is "thirty-six million, seven hundred sixty-eight thousand, forty-nine".