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88288288 = 25111943307
BaseRepresentation
bin1010100001100…
…10110000100000
320011010111202121
411100302300200
5140100211123
612432154024
72121303154
oct520626040
9204114677
1088288288
1145922330
1225698914
13153a2aba
14ba23064
157b3e75d
hex5432c20

88288288 has 96 divisors (see below), whose sum is σ = 204906240. Its totient is φ = 37013760.

The previous prime is 88288229. The next prime is 88288303.

It is a happy number.

88288288 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287431 + ... + 287737.

It is an arithmetic number, because the mean of its divisors is an integer number (2134440).

Almost surely, 288288288 is an apocalyptic number.

88288288 is a gapful number since it is divisible by the number (88) 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 88288288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102453120).

88288288 is an abundant number, since it is smaller than the sum of its proper divisors (116617952).

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

88288288 is a wasteful number, since it uses less digits than its factorization.

88288288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 382 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 52.

The square root of 88288288 is about 9396.1847576556. The cubic root of 88288288 is about 445.2812059256.

The spelling of 88288288 in words is "eighty-eight million, two hundred eighty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 43 44 76 86 88 152 172 176 209 304 307 344 352 418 473 608 614 688 817 836 946 1228 1376 1634 1672 1892 2456 3268 3344 3377 3784 4912 5833 6536 6688 6754 7568 8987 9824 11666 13072 13201 13508 15136 17974 23332 26144 26402 27016 35948 46664 52804 54032 64163 71896 93328 105608 108064 128326 143792 145211 186656 211216 250819 256652 287584 290422 422432 501638 513304 580844 1003276 1026608 1161688 2006552 2053216 2323376 2759009 4013104 4646752 5518018 8026208 11036036 22072072 44144144 88288288