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89768 = 2372229
BaseRepresentation
bin10101111010101000
311120010202
4111322220
510333033
61531332
7522500
oct257250
9146122
1089768
1161498
1243b48
1331b23
1424a00
151b8e8
hex15ea8

89768 has 24 divisors (see below), whose sum is σ = 196650. Its totient is φ = 38304.

The previous prime is 89767. The next prime is 89779. The reversal of 89768 is 86798.

It can be written as a sum of positive squares in only one way, i.e., 56644 + 33124 = 238^2 + 182^2 .

It is not an unprimeable number, because it can be changed into a prime (89767) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 278 + ... + 506.

289768 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 89768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98325).

89768 is an abundant number, since it is smaller than the sum of its proper divisors (106882).

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

89768 is a wasteful number, since it uses less digits than its factorization.

89768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 238 counting only the distinct ones).

The product of its digits is 24192, while the sum is 38.

The square root of 89768 is about 299.6130838265. The cubic root of 89768 is about 44.7755074455.

The spelling of 89768 in words is "eighty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 229 392 458 916 1603 1832 3206 6412 11221 12824 22442 44884 89768