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88088 = 23711213
BaseRepresentation
bin10101100000011000
311110211112
4111200120
510304323
61515452
7514550
oct254030
9143745
1088088
1160200
1242b88
1331130
1424160
151b178
hex15818

88088 has 48 divisors (see below), whose sum is σ = 223440. Its totient is φ = 31680.

The previous prime is 88079. The next prime is 88093.

88088 is nontrivially palindromic in base 10.

88088 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88088.

It is an unprimeable number.

88088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6770 + ... + 6782.

It is an arithmetic number, because the mean of its divisors is an integer number (4655).

288088 is an apocalyptic number.

88088 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 88088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111720).

88088 is an abundant number, since it is smaller than the sum of its proper divisors (135352).

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

88088 is a wasteful number, since it uses less digits than its factorization.

88088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 88088 is about 296.7962263911. The cubic root of 88088 is about 44.4944234059.

The spelling of 88088 in words is "eighty-eight thousand, eighty-eight".