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5041462608 = 24327213175361
BaseRepresentation
bin1001011000111111…
…01001110101010000
3111000100101211120100
410230133221311100
540311103300413
62152132012400
7235634503500
oct45437516520
914010354510
105041462608
112157857526
12b88461100
13624618090
1435b7b5a00
151e78e6a73
hex12c7e9d50

5041462608 has 720 divisors, whose sum is σ = 19380540816. Its totient is φ = 1207664640.

The previous prime is 5041462607. The next prime is 5041462609. The reversal of 5041462608 is 8062641405.

5041462608 is a `hidden beast` number, since 5 + 0 + 4 + 1 + 46 + 2 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (5041462607) and next prime (5041462609).

It can be written as a sum of positive squares in 8 ways, for example, as 273836304 + 4767626304 = 16548^2 + 69048^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5041462607) 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 143 ways as a sum of consecutive naturals, for example, 82646898 + ... + 82646958.

Almost surely, 25041462608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5041462608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9690270408).

5041462608 is an abundant number, since it is smaller than the sum of its proper divisors (14339078208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5041462608 is a wasteful number, since it uses less digits than its factorization.

5041462608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5041462608 is about 71003.2577280789. The cubic root of 5041462608 is about 1714.6896120219.

The spelling of 5041462608 in words is "five billion, forty-one million, four hundred sixty-two thousand, six hundred eight".