Search a number
-
+
89012664 = 233213611559
BaseRepresentation
bin1010100111000…
…11100110111000
320012111022102100
411103203212320
5140241401124
612455503400
72130411066
oct523434670
9205438370
1089012664
1146277594
1225987b60
1315597720
14bb71036
157c341c9
hex54e39b8

89012664 has 96 divisors (see below), whose sum is σ = 264045600. Its totient is φ = 26922240.

The previous prime is 89012659. The next prime is 89012683. The reversal of 89012664 is 46621098.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56317 + ... + 57875.

It is an arithmetic number, because the mean of its divisors is an integer number (2750475).

Almost surely, 289012664 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 89012664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132022800).

89012664 is an abundant number, since it is smaller than the sum of its proper divisors (175032936).

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

89012664 is a wasteful number, since it uses less digits than its factorization.

89012664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 89012664 is about 9434.6522988396. The cubic root of 89012664 is about 446.4956851578.

It can be divided in two parts, 89012 and 664, that added together give a triangular number (89676 = T423).

The spelling of 89012664 in words is "eighty-nine million, twelve thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 61 72 78 104 117 122 156 183 234 244 312 366 468 488 549 732 793 936 1098 1464 1559 1586 2196 2379 3118 3172 4392 4677 4758 6236 6344 7137 9354 9516 12472 14031 14274 18708 19032 20267 28062 28548 37416 40534 56124 57096 60801 81068 95099 112248 121602 162136 182403 190198 243204 285297 364806 380396 486408 570594 729612 760792 855891 1141188 1236287 1459224 1711782 2282376 2472574 3423564 3708861 4945148 6847128 7417722 9890296 11126583 14835444 22253166 29670888 44506332 89012664