Search a number
-
+
89666752 = 267712819
BaseRepresentation
bin1010101100000…
…11010011000000
320020201112122211
411112003103000
5140423314002
612521511504
72136104050
oct526032300
9206645584
1089666752
1146683a5a
1226042594
1315766366
14bca1560
157d12dd7
hex55834c0

89666752 has 56 divisors (see below), whose sum is σ = 206288640. Its totient is φ = 37873920.

The previous prime is 89666747. The next prime is 89666761. The reversal of 89666752 is 25766698.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 89666696 and 89666705.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30399 + ... + 33217.

Almost surely, 289666752 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 89666752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103144320).

89666752 is an abundant number, since it is smaller than the sum of its proper divisors (116621888).

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

89666752 is a wasteful number, since it uses less digits than its factorization.

89666752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2899 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

The square root of 89666752 is about 9469.2529800402. The cubic root of 89666752 is about 447.5866723500.

The spelling of 89666752 in words is "eighty-nine million, six hundred sixty-six thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 142 224 284 448 497 568 994 1136 1988 2272 2819 3976 4544 5638 7952 11276 15904 19733 22552 31808 39466 45104 78932 90208 157864 180416 200149 315728 400298 631456 800596 1262912 1401043 1601192 2802086 3202384 5604172 6404768 11208344 12809536 22416688 44833376 89666752