Search a number
-
+
89053776 = 243373601
BaseRepresentation
bin1010100111011…
…01101001010000
320012120101211000
411103231221100
5140244210101
612500422000
72130642000
oct523555120
9205511730
1089053776
11462a5469
12259a7900
13155b0356
14bb82000
157c41486
hex54eda50

89053776 has 160 divisors (see below), whose sum is σ = 298592000. Its totient is φ = 25401600.

The previous prime is 89053759. The next prime is 89053799. The reversal of 89053776 is 67735098.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 14.

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 31 ways as a sum of consecutive naturals, for example, 147876 + ... + 148476.

It is an arithmetic number, because the mean of its divisors is an integer number (1866200).

Almost surely, 289053776 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 89053776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149296000).

89053776 is an abundant number, since it is smaller than the sum of its proper divisors (209538224).

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

89053776 is a wasteful number, since it uses less digits than its factorization.

89053776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 89053776 is about 9436.8308239578. The cubic root of 89053776 is about 446.5644150982.

The spelling of 89053776 in words is "eighty-nine million, fifty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 343 378 392 432 441 504 588 601 686 756 784 882 1008 1029 1176 1202 1323 1372 1512 1764 1803 2058 2352 2404 2646 2744 3024 3087 3528 3606 4116 4207 4808 5292 5409 5488 6174 7056 7212 8232 8414 9261 9616 10584 10818 12348 12621 14424 16227 16464 16828 18522 21168 21636 24696 25242 28848 29449 32454 33656 37044 37863 43272 49392 50484 58898 64908 67312 74088 75726 86544 88347 100968 113589 117796 129816 148176 151452 176694 201936 206143 227178 235592 259632 265041 302904 353388 412286 454356 471184 530082 605808 618429 706776 795123 824572 908712 1060164 1236858 1413552 1590246 1649144 1817424 1855287 2120328 2473716 3180492 3298288 3710574 4240656 4947432 5565861 6360984 7421148 9894864 11131722 12721968 14842296 22263444 29684592 44526888 89053776