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5757696 = 28337217
BaseRepresentation
bin10101111101101100000000
3101211112002000
4111331230000
52433221241
6323224000
766640200
oct25755400
911745060
105757696
11328292a
121b18000
131267929
14a9c400
1578aeb6
hex57db00

5757696 has 216 divisors, whose sum is σ = 20971440. Its totient is φ = 1548288.

The previous prime is 5757623. The next prime is 5757701. The reversal of 5757696 is 6967575.

It is a happy number.

5757696 is a `hidden beast` number, since 575 + 76 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 23 ways as a sum of consecutive naturals, for example, 338680 + ... + 338696.

It is an arithmetic number, because the mean of its divisors is an integer number (97090).

Almost surely, 25757696 is an apocalyptic number.

5757696 is a gapful number since it is divisible by the number (56) 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 5757696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10485720).

5757696 is an abundant number, since it is smaller than the sum of its proper divisors (15213744).

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

5757696 is a wasteful number, since it uses less digits than its factorization.

5757696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 29 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The square root of 5757696 is about 2399.5199519904. The cubic root of 5757696 is about 179.2322858495.

The spelling of 5757696 in words is "five million, seven hundred fifty-seven thousand, six hundred ninety-six".