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88811268 = 223713167487
BaseRepresentation
bin1010100101100…
…10011100000100
320012010002011020
411102302130010
5140213430033
612451311140
72125611660
oct522623404
9205102136
1088811268
114614a247
12258ab4b0
1315526b60
14bb1b8a0
157be46b3
hex54b2704

88811268 has 96 divisors (see below), whose sum is σ = 257101824. Its totient is φ = 23234688.

The previous prime is 88811251. The next prime is 88811269. The reversal of 88811268 is 86211888.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (88811269) 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 31 ways as a sum of consecutive naturals, for example, 182121 + ... + 182607.

It is an arithmetic number, because the mean of its divisors is an integer number (2678144).

Almost surely, 288811268 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 88811268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128550912).

88811268 is an abundant number, since it is smaller than the sum of its proper divisors (168290556).

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

88811268 is a wasteful number, since it uses less digits than its factorization.

88811268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 679 counting only the distinct ones).

The product of its digits is 49152, while the sum is 42.

The square root of 88811268 is about 9423.9730474997. The cubic root of 88811268 is about 446.1586906056.

The spelling of 88811268 in words is "eighty-eight million, eight hundred eleven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 167 182 273 334 364 487 501 546 668 974 1002 1092 1169 1461 1948 2004 2171 2338 2922 3409 3507 4342 4676 5844 6331 6513 6818 7014 8684 10227 12662 13026 13636 14028 15197 18993 20454 25324 26052 30394 37986 40908 44317 45591 60788 75972 81329 88634 91182 132951 162658 177268 182364 243987 265902 325316 487974 531804 569303 975948 1057277 1138606 1707909 2114554 2277212 3171831 3415818 4229108 6343662 6831636 7400939 12687324 14801878 22202817 29603756 44405634 88811268