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82937449 = 7213012
BaseRepresentation
bin1001111000110…
…00011001101001
312210001122210101
410330120121221
5132212444244
612121345401
72024646100
oct474303151
9183048711
1082937449
11428a8151
1223938261
131424b41a
14b02d037
1574340d4
hex4f18669

82937449 has 9 divisors (see below), whose sum is σ = 96552471. Its totient is φ = 71034600.

The previous prime is 82937447. The next prime is 82937453. The reversal of 82937449 is 94473928.

It is a happy number.

The square root of 82937449 is 9107.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 127449 + 82810000 = 357^2 + 9100^2 .

It is not a de Polignac number, because 82937449 - 21 = 82937447 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82937399 and 82937408.

It is not an unprimeable number, because it can be changed into a prime (82937447) 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 in 8 ways as a sum of consecutive naturals, for example, 63099 + ... + 64399.

Almost surely, 282937449 is an apocalyptic number.

82937449 is the 9107-th square number.

82937449 is the 4554-th centered octagonal number.

It is an amenable number.

82937449 is a deficient number, since it is larger than the sum of its proper divisors (13615022).

82937449 is an frugal number, since it uses more digits than its factorization.

82937449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 1308 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The cubic root of 82937449 is about 436.0974605374.

The spelling of 82937449 in words is "eighty-two million, nine hundred thirty-seven thousand, four hundred forty-nine".

Divisors: 1 7 49 1301 9107 63749 1692601 11848207 82937449