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5656896 = 263272361
BaseRepresentation
bin10101100101000101000000
3101122101210200
4111211011000
52422010041
6321125200
766040260
oct25450500
911571720
105656896
113214123
121a89800
131230a9b
14a737a0
1576b1b6
hex565140

5656896 has 168 divisors, whose sum is σ = 19653504. Its totient is φ = 1520640.

The previous prime is 5656837. The next prime is 5656921. The reversal of 5656896 is 6986565.

5656896 is a `hidden beast` number, since 565 + 6 + 89 + 6 = 666.

5656896 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (168).

Its product of digits (388800) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92706 + ... + 92766.

Almost surely, 25656896 is an apocalyptic number.

5656896 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 5656896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9826752).

5656896 is an abundant number, since it is smaller than the sum of its proper divisors (13996608).

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

5656896 is a wasteful number, since it uses less digits than its factorization.

5656896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 96 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 5656896 is about 2378.4230069523. The cubic root of 5656896 is about 178.1801819799.

The spelling of 5656896 in words is "five million, six hundred fifty-six thousand, eight hundred ninety-six".