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42764237 is a prime number
BaseRepresentation
bin1010001100100…
…0011111001101
32222110122111122
42203020133031
541421423422
64124330325
71026330035
oct243103715
988418448
1042764237
112215944a
12123a39a5
138b23aa9
1459728c5
153b4ad42
hex28c87cd

42764237 has 2 divisors, whose sum is σ = 42764238. Its totient is φ = 42764236.

The previous prime is 42764209. The next prime is 42764243. The reversal of 42764237 is 73246724.

42764237 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., 42588676 + 175561 = 6526^2 + 419^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42764237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42764197 and 42764206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42764287) 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, 21382118 + 21382119.

It is an arithmetic number, because the mean of its divisors is an integer number (21382119).

Almost surely, 242764237 is an apocalyptic number.

It is an amenable number.

42764237 is a deficient number, since it is larger than the sum of its proper divisors (1).

42764237 is an equidigital number, since it uses as much as digits as its factorization.

42764237 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 56448, while the sum is 35.

The square root of 42764237 is about 6539.4370552824. The cubic root of 42764237 is about 349.6983441671.

The spelling of 42764237 in words is "forty-two million, seven hundred sixty-four thousand, two hundred thirty-seven".