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83256047 = 73242729
BaseRepresentation
bin1001111011001…
…10001011101111
312210122211211022
410331212023233
5132303143142
612132244355
72030444000
oct475461357
9183584738
1083256047
1142aa5556
1223a706bb
1314330444
14b0b31a7
1574986d2
hex4f662ef

83256047 has 8 divisors (see below), whose sum is σ = 97092000. Its totient is φ = 71362032.

The previous prime is 83256037. The next prime is 83256073. The reversal of 83256047 is 74065238.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-83256047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83255998 and 83256016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83256007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121022 + ... + 121707.

It is an arithmetic number, because the mean of its divisors is an integer number (12136500).

Almost surely, 283256047 is an apocalyptic number.

83256047 is a deficient number, since it is larger than the sum of its proper divisors (13835953).

83256047 is an equidigital number, since it uses as much as digits as its factorization.

83256047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242750 (or 242736 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 83256047 is about 9124.4751629888. The cubic root of 83256047 is about 436.6551589402.

The spelling of 83256047 in words is "eighty-three million, two hundred fifty-six thousand, forty-seven".

Divisors: 1 7 49 343 242729 1699103 11893721 83256047