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5408095896 = 2334721743233
BaseRepresentation
bin1010000100101100…
…01111111010011000
3111221220021201220000
411002112033322120
542033433032041
62252350133000
7251006025300
oct50226177230
914856251800
105408095896
112325802545
12106b1b1160
13682576158
14394372600
15219bb8bb6
hex14258fe98

5408095896 has 480 divisors, whose sum is σ = 19173108240. Its totient is φ = 1414361088.

The previous prime is 5408095871. The next prime is 5408095907. The reversal of 5408095896 is 6985908045.

It is a happy number.

5408095896 is a `hidden beast` number, since 54 + 0 + 8 + 0 + 9 + 589 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23210596 + ... + 23210828.

Almost surely, 25408095896 is an apocalyptic number.

5408095896 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 5408095896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9586554120).

5408095896 is an abundant number, since it is smaller than the sum of its proper divisors (13765012344).

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

5408095896 is a wasteful number, since it uses less digits than its factorization.

5408095896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 5408095896 is about 73539.7572473557. The cubic root of 5408095896 is about 1755.2869660047.

The spelling of 5408095896 in words is "five billion, four hundred eight million, ninety-five thousand, eight hundred ninety-six".