Search a number
-
+
82042957 = 3114811787
BaseRepresentation
bin1001110001111…
…10000001001101
312201101012210001
410320332001031
5132000333312
612050244301
72014232203
oct470760115
9181335701
1082042957
11423470a7
1223586691
1313cc7239
14ac79073
157309057
hex4e3e04d

82042957 has 8 divisors (see below), whose sum is σ = 84794112. Its totient is φ = 79298400.

The previous prime is 82042951. The next prime is 82042963. The reversal of 82042957 is 75924028.

It is an interprime number because it is at equal distance from previous prime (82042951) and next prime (82042963).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82042957 - 215 = 82010189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82042951) 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 7 ways as a sum of consecutive naturals, for example, 45018 + ... + 46804.

It is an arithmetic number, because the mean of its divisors is an integer number (10599264).

Almost surely, 282042957 is an apocalyptic number.

It is an amenable number.

82042957 is a deficient number, since it is larger than the sum of its proper divisors (2751155).

82042957 is a wasteful number, since it uses less digits than its factorization.

82042957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299.

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 82042957 is about 9057.7567311117. The cubic root of 82042957 is about 434.5239995166.

The spelling of 82042957 in words is "eighty-two million, forty-two thousand, nine hundred fifty-seven".

Divisors: 1 31 1481 1787 45911 55397 2646547 82042957