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842072497 = 72113152081
BaseRepresentation
bin110010001100010…
…000000110110001
32011200111201022021
4302030100012301
53211032304442
6215320311441
726603332600
oct6214200661
92150451267
10842072497
113a2367592
121b6012581
131055c3b66
147db9ba37
154ddd7e67
hex323101b1

842072497 has 12 divisors (see below), whose sum is σ = 988228836. Its totient is φ = 715384320.

The previous prime is 842072471. The next prime is 842072531. The reversal of 842072497 is 794270248.

It can be written as a sum of positive squares in 2 ways, for example, as 93721761 + 748350736 = 9681^2 + 27356^2 .

It is not a de Polignac number, because 842072497 - 27 = 842072369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (842072467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70504 + ... + 81577.

It is an arithmetic number, because the mean of its divisors is an integer number (82352403).

Almost surely, 2842072497 is an apocalyptic number.

It is an amenable number.

842072497 is a deficient number, since it is larger than the sum of its proper divisors (146156339).

842072497 is a wasteful number, since it uses less digits than its factorization.

842072497 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152208 (or 152201 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 842072497 is about 29018.4854360113. The cubic root of 842072497 is about 944.3141434042.

The spelling of 842072497 in words is "eight hundred forty-two million, seventy-two thousand, four hundred ninety-seven".

Divisors: 1 7 49 113 791 5537 152081 1064567 7451969 17185153 120296071 842072497