Search a number
-
+
89080056 = 233213195009
BaseRepresentation
bin1010100111101…
…00000011111000
320012121201212100
411103310003320
5140301030211
612501143400
72131111422
oct523640370
9205551770
1089080056
114631318a
12259bab60
13155bc2c0
14bb8b812
157c49156
hex54f40f8

89080056 has 96 divisors (see below), whose sum is σ = 273546000. Its totient is φ = 25961472.

The previous prime is 89080049. The next prime is 89080067. The reversal of 89080056 is 65008098.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 89080056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15280 + ... + 20288.

Almost surely, 289080056 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 89080056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136773000).

89080056 is an abundant number, since it is smaller than the sum of its proper divisors (184465944).

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

89080056 is a wasteful number, since it uses less digits than its factorization.

89080056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 89080056 is about 9438.2231378581. The cubic root of 89080056 is about 446.6083382165.

The spelling of 89080056 in words is "eighty-nine million, eighty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 171 228 234 247 312 342 456 468 494 684 741 936 988 1368 1482 1976 2223 2964 4446 5009 5928 8892 10018 15027 17784 20036 30054 40072 45081 60108 65117 90162 95171 120216 130234 180324 190342 195351 260468 285513 360648 380684 390702 520936 571026 586053 761368 781404 856539 1142052 1172106 1237223 1562808 1713078 2284104 2344212 2474446 3426156 3711669 4688424 4948892 6852312 7423338 9897784 11135007 14846676 22270014 29693352 44540028 89080056