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5756125440 = 283513671721
BaseRepresentation
bin1010101110001011…
…11000000100000000
3112212011011110200010
411113011320010000
543242032003230
62351101424520
7262433154552
oct52705700400
915764143603
105756125440
11249420126a
12114786b140
137096bc4b0
143c86894d2
1523a5139b0
hex157178100

5756125440 has 288 divisors, whose sum is σ = 20104914816. Its totient is φ = 1394933760.

The previous prime is 5756125381. The next prime is 5756125471. The reversal of 5756125440 is 445216575.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3343780 + ... + 3345500.

It is an arithmetic number, because the mean of its divisors is an integer number (69808732).

Almost surely, 25756125440 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 5756125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10052457408).

5756125440 is an abundant number, since it is smaller than the sum of its proper divisors (14348789376).

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

5756125440 is a wasteful number, since it uses less digits than its factorization.

5756125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 39.

The square root of 5756125440 is about 75869.1336447175. The cubic root of 5756125440 is about 1792.1598762547.

The spelling of 5756125440 in words is "five billion, seven hundred fifty-six million, one hundred twenty-five thousand, four hundred forty".