Search a number
-
+
98088 = 2336167
BaseRepresentation
bin10111111100101000
311222112220
4113330220
511114323
62034040
7555654
oct277450
9158486
1098088
1167771
1248920
1335853
1427a64
151e0e3
hex17f28

98088 has 32 divisors (see below), whose sum is σ = 252960. Its totient is φ = 31680.

The previous prime is 98081. The next prime is 98101. The reversal of 98088 is 88089.

98088 is nontrivially palindromic in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 98088.

It is not an unprimeable number, because it can be changed into a prime (98081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1431 + ... + 1497.

It is an arithmetic number, because the mean of its divisors is an integer number (7905).

298088 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 98088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126480).

98088 is an abundant number, since it is smaller than the sum of its proper divisors (154872).

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

98088 is a wasteful number, since it uses less digits than its factorization.

98088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 98088 is about 313.1900381557. The cubic root of 98088 is about 46.1181587374.

Subtracting from 98088 its reverse (88089), we obtain a palindrome (9999).

The spelling of 98088 in words is "ninety-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 61 67 122 134 183 201 244 268 366 402 488 536 732 804 1464 1608 4087 8174 12261 16348 24522 32696 49044 98088