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82980937 = 13109157373
BaseRepresentation
bin1001111001000…
…11000001001001
312210010212110001
410330203001021
5132220342222
612122323001
72025216634
oct474430111
9183125401
1082980937
1142927896
1223959461
1314265160
14b040c1b
157441e27
hex4f23049

82980937 has 16 divisors (see below), whose sum is σ = 91001680. Its totient is φ = 75209472.

The previous prime is 82980883. The next prime is 82980943. The reversal of 82980937 is 73908928.

It can be written as a sum of positive squares in 8 ways, for example, as 2627641 + 80353296 = 1621^2 + 8964^2 .

It is a de Polignac number, because none of the positive numbers 2k-82980937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82980437) 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 15 ways as a sum of consecutive naturals, for example, 222283 + ... + 222655.

It is an arithmetic number, because the mean of its divisors is an integer number (5687605).

Almost surely, 282980937 is an apocalyptic number.

It is an amenable number.

82980937 is a deficient number, since it is larger than the sum of its proper divisors (8020743).

82980937 is a wasteful number, since it uses less digits than its factorization.

82980937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652.

The product of its (nonzero) digits is 217728, while the sum is 46.

The square root of 82980937 is about 9109.3873010209. The cubic root of 82980937 is about 436.1736693462.

The spelling of 82980937 in words is "eighty-two million, nine hundred eighty thousand, nine hundred thirty-seven".

Divisors: 1 13 109 157 373 1417 2041 4849 17113 40657 58561 222469 528541 761293 6383149 82980937