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88068288 = 26372112337
BaseRepresentation
bin1010011111111…
…01000011000000
320010201022222110
411033331003000
5140021141123
612423335320
72116365600
oct517750300
9203638873
1088068288
1145792010
12255b1540
1315326919
14b9a6c00
157ae9493
hex53fd0c0

88068288 has 336 divisors, whose sum is σ = 316894464. Its totient is φ = 21288960.

The previous prime is 88068269. The next prime is 88068289. The reversal of 88068288 is 88286088.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (88068289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2380206 + ... + 2380242.

Almost surely, 288068288 is an apocalyptic number.

88068288 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 88068288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158447232).

88068288 is an abundant number, since it is smaller than the sum of its proper divisors (228826176).

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

88068288 is a wasteful number, since it uses less digits than its factorization.

88068288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 48.

The square root of 88068288 is about 9384.4705764364. The cubic root of 88068288 is about 444.9110422694.

The spelling of 88068288 in words is "eighty-eight million, sixty-eight thousand, two hundred eighty-eight".