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983052149 = 17376125621
BaseRepresentation
bin111010100110000…
…010111101110101
32112111210020000212
4322212002331311
54003130132044
6241314115205
733234543152
oct7246027565
92474706025
10983052149
114649a86a2
1223527bb05
13128885081
14947b9229
155b484a9e
hex3a982f75

983052149 has 16 divisors (see below), whose sum is σ = 1086577776. Its totient is φ = 885427200.

The previous prime is 983052139. The next prime is 983052151. The reversal of 983052149 is 941250389.

It can be written as a sum of positive squares in 8 ways, for example, as 10048900 + 973003249 = 3170^2 + 31193^2 .

It is not a de Polignac number, because 983052149 - 28 = 983051893 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (983052139) 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 15 ways as a sum of consecutive naturals, for example, 25559 + ... + 51179.

It is an arithmetic number, because the mean of its divisors is an integer number (67911111).

Almost surely, 2983052149 is an apocalyptic number.

It is an amenable number.

983052149 is a deficient number, since it is larger than the sum of its proper divisors (103525627).

983052149 is a wasteful number, since it uses less digits than its factorization.

983052149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25736.

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 983052149 is about 31353.6624495449. The cubic root of 983052149 is about 994.3184980003.

The spelling of 983052149 in words is "nine hundred eighty-three million, fifty-two thousand, one hundred forty-nine".

Divisors: 1 17 37 61 629 1037 2257 25621 38369 435557 947977 1562881 16115609 26568977 57826597 983052149