Search a number
-
+
89258664 = 233111991699
BaseRepresentation
bin1010101000111…
…11101010101000
320012221210212110
411110133222220
5140322234124
612505042320
72132454225
oct524375250
9205853773
1089258664
11464253a0
1225a863a0
13156526a1
14bbd694c
157c82029
hex551faa8

89258664 has 64 divisors (see below), whose sum is σ = 244800000. Its totient is φ = 26896320.

The previous prime is 89258657. The next prime is 89258671. The reversal of 89258664 is 46685298.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89258657) and next prime (89258671).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51687 + ... + 53385.

It is an arithmetic number, because the mean of its divisors is an integer number (3825000).

Almost surely, 289258664 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 89258664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122400000).

89258664 is an abundant number, since it is smaller than the sum of its proper divisors (155541336).

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

89258664 is a wasteful number, since it uses less digits than its factorization.

89258664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1914 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 89258664 is about 9447.6803502235. The cubic root of 89258664 is about 446.9066263434.

The spelling of 89258664 in words is "eighty-nine million, two hundred fifty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 199 264 398 597 796 1194 1592 1699 2189 2388 3398 4378 4776 5097 6567 6796 8756 10194 13134 13592 17512 18689 20388 26268 37378 40776 52536 56067 74756 112134 149512 224268 338101 448536 676202 1014303 1352404 2028606 2704808 3719111 4057212 7438222 8114424 11157333 14876444 22314666 29752888 44629332 89258664