Search a number
-
+
88616 = 23111953
BaseRepresentation
bin10101101000101000
311111120002
4111220220
510313431
61522132
7516233
oct255050
9144502
1088616
1160640
1243348
1331448
142441a
151b3cb
hex15a28

88616 has 32 divisors (see below), whose sum is σ = 194400. Its totient is φ = 37440.

The previous prime is 88609. The next prime is 88643. The reversal of 88616 is 61688.

It is an unprimeable number.

88616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 1646 + ... + 1698.

It is an arithmetic number, because the mean of its divisors is an integer number (6075).

288616 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 88616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97200).

88616 is an abundant number, since it is smaller than the sum of its proper divisors (105784).

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

88616 is a wasteful number, since it uses less digits than its factorization.

88616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 85 counting only the distinct ones).

The product of its digits is 2304, while the sum is 29.

The square root of 88616 is about 297.6843966351. The cubic root of 88616 is about 44.5831463196.

The spelling of 88616 in words is "eighty-eight thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 19 22 38 44 53 76 88 106 152 209 212 418 424 583 836 1007 1166 1672 2014 2332 4028 4664 8056 11077 22154 44308 88616