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78272993 is a prime number
BaseRepresentation
bin1001010101001…
…01100111100001
312110021200100202
410222211213201
5130014213433
611433354545
71640211101
oct452454741
9173250322
1078272993
1140201727
1222268a55
13132a72a6
14a577201
156d11ee8
hex4aa59e1

78272993 has 2 divisors, whose sum is σ = 78272994. Its totient is φ = 78272992.

The previous prime is 78272927. The next prime is 78273007. The reversal of 78272993 is 39927287.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44249104 + 34023889 = 6652^2 + 5833^2 .

It is a cyclic number.

It is not a de Polignac number, because 78272993 - 210 = 78271969 is a prime.

It is a super-2 number, since 2×782729932 = 12253322866356098, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (78272903) 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, 39136496 + 39136497.

It is an arithmetic number, because the mean of its divisors is an integer number (39136497).

Almost surely, 278272993 is an apocalyptic number.

It is an amenable number.

78272993 is a deficient number, since it is larger than the sum of its proper divisors (1).

78272993 is an equidigital number, since it uses as much as digits as its factorization.

78272993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 381024, while the sum is 47.

The square root of 78272993 is about 8847.2025522195. The cubic root of 78272993 is about 427.7637518361.

The spelling of 78272993 in words is "seventy-eight million, two hundred seventy-two thousand, nine hundred ninety-three".