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115552896 = 2731132663
BaseRepresentation
bin1101110001100…
…11001010000000
322001102200202220
412320303022000
5214040143041
615244411040
72602116624
oct670631200
9261380686
10115552896
115a254668
1232846a80
131ac2a9c4
14114bd184
15a227d66
hex6e33280

115552896 has 64 divisors (see below), whose sum is σ = 309769920. Its totient is φ = 38162432.

The previous prime is 115552891. The next prime is 115552909. The reversal of 115552896 is 698255511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (115552891) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 42061 + ... + 44723.

It is an arithmetic number, because the mean of its divisors is an integer number (4840155).

Almost surely, 2115552896 is an apocalyptic number.

115552896 is a gapful number since it is divisible by the number (16) 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 115552896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154884960).

115552896 is an abundant number, since it is smaller than the sum of its proper divisors (194217024).

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

115552896 is a wasteful number, since it uses less digits than its factorization.

115552896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2781 counting only the distinct ones).

The product of its digits is 108000, while the sum is 42.

The square root of 115552896 is about 10749.5532930443. The cubic root of 115552896 is about 487.0725014932.

The spelling of 115552896 in words is "one hundred fifteen million, five hundred fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 339 384 452 678 904 1356 1808 2663 2712 3616 5326 5424 7232 7989 10652 10848 14464 15978 21304 21696 31956 42608 43392 63912 85216 127824 170432 255648 300919 340864 511296 601838 902757 1022592 1203676 1805514 2407352 3611028 4814704 7222056 9629408 14444112 19258816 28888224 38517632 57776448 115552896