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88689888 = 25327293741
BaseRepresentation
bin1010100100101…
…00110011100000
320011212220122200
411102110303200
5140201034023
612444533200
72124565050
oct522246340
9204786580
1088689888
1146077031
1225851200
13154b3831
14bac9560
157bbd743
hex5494ce0

88689888 has 288 divisors, whose sum is σ = 313709760. Its totient is φ = 23224320.

The previous prime is 88689883. The next prime is 88689907. The reversal of 88689888 is 88898688.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88689883) 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 47 ways as a sum of consecutive naturals, for example, 2163148 + ... + 2163188.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 288689888 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 88689888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

88689888 is an abundant number, since it is smaller than the sum of its proper divisors (225019872).

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

88689888 is a wasteful number, since it uses less digits than its factorization.

88689888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 119 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 63.

The square root of 88689888 is about 9417.5308865965. The cubic root of 88689888 is about 445.9553401628.

The spelling of 88689888 in words is "eighty-eight million, six hundred eighty-nine thousand, eight hundred eighty-eight".