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83131024 = 2427718757
BaseRepresentation
bin1001111010001…
…11101010010000
312210102111022211
410331013222100
5132240143044
612125441504
72026413334
oct475075220
9183374284
1083131024
1142a1a629
1223a10294
13142b8572
14b07d7c4
157471634
hex4f47a90

83131024 has 20 divisors (see below), whose sum is σ = 161656444. Its totient is φ = 41413248.

The previous prime is 83131021. The next prime is 83131033. The reversal of 83131024 is 42013138.

It can be written as a sum of positive squares in 2 ways, for example, as 31002624 + 52128400 = 5568^2 + 7220^2 .

It is a junction number, because it is equal to n+sod(n) for n = 83130986 and 83131004.

It is not an unprimeable number, because it can be changed into a prime (83131021) 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 3 ways as a sum of consecutive naturals, for example, 4947 + ... + 13810.

Almost surely, 283131024 is an apocalyptic number.

It is an amenable number.

83131024 is a deficient number, since it is larger than the sum of its proper divisors (78525420).

83131024 is a wasteful number, since it uses less digits than its factorization.

83131024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19042 (or 19036 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 83131024 is about 9117.6216196989. The cubic root of 83131024 is about 436.4364789802.

The spelling of 83131024 in words is "eighty-three million, one hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 277 554 1108 2216 4432 18757 37514 75028 150056 300112 5195689 10391378 20782756 41565512 83131024