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88938 = 23661
BaseRepresentation
bin10101101101101010
311112000000
4111231222
510321223
61523430
7520203
oct255552
9145000
1088938
1160903
1243576
1331635
14245aa
151b543
hex15b6a

88938 has 28 divisors (see below), whose sum is σ = 203298. Its totient is φ = 29160.

The previous prime is 88937. The next prime is 88951. The reversal of 88938 is 83988.

88938 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in only one way, i.e., 88209 + 729 = 297^2 + 27^2 .

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88938.

It is not an unprimeable number, because it can be changed into a prime (88937) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1428 + ... + 1488.

288938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101649).

88938 is an abundant number, since it is smaller than the sum of its proper divisors (114360).

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

88938 is an equidigital number, since it uses as much as digits as its factorization.

88938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 66 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 88938 is about 298.2247474641. The cubic root of 88938 is about 44.6370809746.

Subtracting from 88938 its reverse (83988), we obtain a triangular number (4950 = T99).

The spelling of 88938 in words is "eighty-eight thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 243 366 486 549 729 1098 1458 1647 3294 4941 9882 14823 29646 44469 88938