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83756041 = 232158329
BaseRepresentation
bin1001111111000…
…00010000001001
312211121020200121
410333200100021
5132420143131
612151103241
72034625465
oct477402011
9184536617
1083756041
1143307176
1224071b21
1314476bb5
14b1a34a5
157546911
hex4fe0409

83756041 has 6 divisors (see below), whose sum is σ = 87556490. Its totient is φ = 80113968.

The previous prime is 83756027. The next prime is 83756051. The reversal of 83756041 is 14065738.

It can be written as a sum of positive squares in only one way, i.e., 82537225 + 1218816 = 9085^2 + 1104^2 .

It is not a de Polignac number, because 83756041 - 213 = 83747849 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83755988 and 83756006.

It is not an unprimeable number, because it can be changed into a prime (83756051) 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 5 ways as a sum of consecutive naturals, for example, 78636 + ... + 79693.

Almost surely, 283756041 is an apocalyptic number.

It is an amenable number.

83756041 is a deficient number, since it is larger than the sum of its proper divisors (3800449).

83756041 is a wasteful number, since it uses less digits than its factorization.

83756041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158375 (or 158352 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 83756041 is about 9151.8326579981. The cubic root of 83756041 is about 437.5275254519.

The spelling of 83756041 in words is "eighty-three million, seven hundred fifty-six thousand, forty-one".

Divisors: 1 23 529 158329 3641567 83756041