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5758520040 = 2334571319531
BaseRepresentation
bin1010101110011110…
…00000101011101000
3112212022200010110000
411113033000223220
543243140120130
62351225023000
7262462420110
oct52717005350
915768603400
105758520040
112495597379
121148624a60
1370a04a410
143c8b10040
1523a838260
hex1573c0ae8

5758520040 has 320 divisors, whose sum is σ = 23822789760. Its totient is φ = 1214922240.

The previous prime is 5758520029. The next prime is 5758520071. The reversal of 5758520040 is 400258575.

It is a happy number.

5758520040 is a `hidden beast` number, since 57 + 585 + 20 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5758519977 and 5758520004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 285075 + ... + 304605.

It is an arithmetic number, because the mean of its divisors is an integer number (74446218).

Almost surely, 25758520040 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 5758520040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11911394880).

5758520040 is an abundant number, since it is smaller than the sum of its proper divisors (18064269720).

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

5758520040 is a wasteful number, since it uses less digits than its factorization.

5758520040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19574 (or 19561 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 5758520040 is about 75884.9131250738. The cubic root of 5758520040 is about 1792.4083600146.

The spelling of 5758520040 in words is "five billion, seven hundred fifty-eight million, five hundred twenty thousand, forty".