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5704260408 = 2334711219547
BaseRepresentation
bin1010101000000000…
…00001101100111000
3112201112120110020000
411110000001230320
543140242313113
62342010033000
7261233261550
oct52400015470
915645513200
105704260408
1124679a7300
121132418760
136cba30222
143c1828160
15235bbb373
hex154001b38

5704260408 has 480 divisors, whose sum is σ = 21165513600. Its totient is φ = 1401079680.

The previous prime is 5704260349. The next prime is 5704260413. The reversal of 5704260408 is 8040624075.

5704260408 is a `hidden beast` number, since 5 + 7 + 0 + 42 + 604 + 0 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10427991 + ... + 10428537.

It is an arithmetic number, because the mean of its divisors is an integer number (44094820).

Almost surely, 25704260408 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 5704260408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10582756800).

5704260408 is an abundant number, since it is smaller than the sum of its proper divisors (15461253192).

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

5704260408 is a wasteful number, since it uses less digits than its factorization.

5704260408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5704260408 is about 75526.5543236285. The cubic root of 5704260408 is about 1786.7609315441.

The spelling of 5704260408 in words is "five billion, seven hundred four million, two hundred sixty thousand, four hundred eight".