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5040394632 = 23327131922131
BaseRepresentation
bin1001011000110111…
…00101000110001000
3111000021101120120200
410230123211012020
540310320112012
62152053052200
7235622435040
oct45433450610
914007346520
105040394632
1121571980a9
12b88027060
13624332c40
1435b5b8720
151e77853dc
hex12c6e5188

5040394632 has 288 divisors, whose sum is σ = 17740457280. Its totient is φ = 1258778880.

The previous prime is 5040394631. The next prime is 5040394693. The reversal of 5040394632 is 2364930405.

5040394632 is a `hidden beast` number, since 504 + 0 + 3 + 94 + 63 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5040394631) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2364207 + ... + 2366337.

It is an arithmetic number, because the mean of its divisors is an integer number (61598810).

Almost surely, 25040394632 is an apocalyptic number.

5040394632 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5040394632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870228640).

5040394632 is an abundant number, since it is smaller than the sum of its proper divisors (12700062648).

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

5040394632 is a wasteful number, since it uses less digits than its factorization.

5040394632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 5040394632 is about 70995.7367170734. The cubic root of 5040394632 is about 1714.5685243653.

The spelling of 5040394632 in words is "five billion, forty million, three hundred ninety-four thousand, six hundred thirty-two".