Search a number
-
+
89166096 = 2434107643
BaseRepresentation
bin1010101000010…
…01000100010000
320012210002220000
411110021010100
5140311303341
612503050000
72131620315
oct524110420
9205702800
1089166096
1146371898
1225a40900
131561c506
14bbb0d0c
157c648b6
hex5509110

89166096 has 100 divisors (see below), whose sum is σ = 260889552. Its totient is φ = 29398464.

The previous prime is 89166089. The next prime is 89166127. The reversal of 89166096 is 69066198.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 138351 + ... + 138993.

Almost surely, 289166096 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 89166096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130444776).

89166096 is an abundant number, since it is smaller than the sum of its proper divisors (171723456).

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

89166096 is a wasteful number, since it uses less digits than its factorization.

89166096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 89166096 is about 9442.7800991022. The cubic root of 89166096 is about 446.7520808909.

The spelling of 89166096 in words is "eighty-nine million, one hundred sixty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 107 108 144 162 214 216 321 324 428 432 642 643 648 856 963 1284 1286 1296 1712 1926 1929 2568 2572 2889 3852 3858 5136 5144 5778 5787 7704 7716 8667 10288 11556 11574 15408 15432 17334 17361 23112 23148 30864 34668 34722 46224 46296 52083 68801 69336 69444 92592 104166 137602 138672 138888 206403 208332 275204 277776 412806 416664 550408 619209 825612 833328 1100816 1238418 1651224 1857627 2476836 3302448 3715254 4953672 5572881 7430508 9907344 11145762 14861016 22291524 29722032 44583048 89166096