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88381440 = 2113257137
BaseRepresentation
bin1010100010010…
…01100000000000
320011022020112200
411101021200000
5140111201230
612434153200
72122141560
oct521114000
9204266480
1088381440
1145986314
1225722800
1315406314
14ba48da0
157b5c160
hex5449800

88381440 has 288 divisors, whose sum is σ = 352628640. Its totient is φ = 20054016.

The previous prime is 88381427. The next prime is 88381441. The reversal of 88381440 is 4418388.

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

It is a super-2 number, since 2×883814402 = 15622557872947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 88381395 and 88381404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88381441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645052 + ... + 645188.

It is an arithmetic number, because the mean of its divisors is an integer number (1224405).

Almost surely, 288381440 is an apocalyptic number.

88381440 is a gapful number since it is divisible by the number (80) 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 88381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176314320).

88381440 is an abundant number, since it is smaller than the sum of its proper divisors (264247200).

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

88381440 is a wasteful number, since it uses less digits than its factorization.

88381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 88381440 is about 9401.1403563610. The cubic root of 88381440 is about 445.4377546458.

The spelling of 88381440 in words is "eighty-eight million, three hundred eighty-one thousand, four hundred forty".