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115064448 = 273793793
BaseRepresentation
bin1101101101110…
…11111010000000
322000111212202020
412312323322000
5213424030243
615230121440
72565013602
oct666737200
9260455666
10115064448
1159a50694
1232650280
131aab9595
14113d3172
15a17d283
hex6dbbe80

115064448 has 64 divisors (see below), whose sum is σ = 309590400. Its totient is φ = 37859328.

The previous prime is 115064441. The next prime is 115064459. The reversal of 115064448 is 844460511.

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 (115064441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28440 + ... + 32232.

It is an arithmetic number, because the mean of its divisors is an integer number (4837350).

Almost surely, 2115064448 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 115064448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154795200).

115064448 is an abundant number, since it is smaller than the sum of its proper divisors (194525952).

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

115064448 is an equidigital number, since it uses as much as digits as its factorization.

115064448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 115064448 is about 10726.8097773756. The cubic root of 115064448 is about 486.3852387602.

The spelling of 115064448 in words is "one hundred fifteen million, sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 948 1264 1896 2528 3792 3793 5056 7584 7586 10112 11379 15168 15172 22758 30336 30344 45516 60688 91032 121376 182064 242752 299647 364128 485504 599294 728256 898941 1198588 1456512 1797882 2397176 3595764 4794352 7191528 9588704 14383056 19177408 28766112 38354816 57532224 115064448