Search a number
-
+
56181888 = 273276967
BaseRepresentation
bin1101011001010…
…0010010000000
310220201100001200
43112110102000
5103340310023
65324101200
71251352410
oct326242200
9126640050
1056181888
1129793314
1216994800
13b841129
147666640
154deb743
hex3594480

56181888 has 96 divisors (see below), whose sum is σ = 184791360. Its totient is φ = 16049664.

The previous prime is 56181883. The next prime is 56181899. The reversal of 56181888 is 88818165.

It is a happy number.

56181888 is a `hidden beast` number, since 561 + 8 + 1 + 8 + 88 = 666.

It is a Cunningham number, because it is equal to 3833+1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (56181883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4581 + ... + 11547.

It is an arithmetic number, because the mean of its divisors is an integer number (1924910).

Almost surely, 256181888 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 56181888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92395680).

56181888 is an abundant number, since it is smaller than the sum of its proper divisors (128609472).

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

56181888 is a wasteful number, since it uses less digits than its factorization.

56181888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6994 (or 6979 counting only the distinct ones).

The product of its digits is 122880, while the sum is 45.

The square root of 56181888 is about 7495.4578245762. The cubic root of 56181888 is about 383.0000022724. Note that the first 5 decimals are identical.

The spelling of 56181888 in words is "fifty-six million, one hundred eighty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 6967 8064 13934 20901 27868 41802 48769 55736 62703 83604 97538 111472 125406 146307 167208 195076 222944 250812 292614 334416 390152 438921 445888 501624 585228 668832 780304 877842 891776 1003248 1170456 1337664 1560608 1755684 2006496 2340912 2675328 3121216 3511368 4012992 4681824 6242432 7022736 8025984 9363648 14045472 18727296 28090944 56181888