Search a number
-
+
89047728 = 24337112677
BaseRepresentation
bin1010100111011…
…00001010110000
320012120002112000
411103230022300
5140244011403
612500334000
72130615240
oct523541260
9205502460
1089047728
11462a0970
12259a4300
13155aa683
14bb7db20
157c3e7a3
hex54ec2b0

89047728 has 160 divisors (see below), whose sum is σ = 318789120. Its totient is φ = 23120640.

The previous prime is 89047687. The next prime is 89047733. The reversal of 89047728 is 82774098.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31926 + ... + 34602.

It is an arithmetic number, because the mean of its divisors is an integer number (1992432).

Almost surely, 289047728 is an apocalyptic number.

89047728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89047728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159394560).

89047728 is an abundant number, since it is smaller than the sum of its proper divisors (229741392).

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

89047728 is a wasteful number, since it uses less digits than its factorization.

89047728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 89047728 is about 9436.5103719542. The cubic root of 89047728 is about 446.5543055410.

The spelling of 89047728 in words is "eighty-nine million, forty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2677 2772 3024 3696 4158 4752 5354 5544 8031 8316 10708 11088 16062 16632 18739 21416 24093 29447 32124 33264 37478 42832 48186 56217 58894 64248 72279 74956 88341 96372 112434 117788 128496 144558 149912 168651 176682 192744 206129 224868 235576 265023 289116 299824 337302 353364 385488 412258 449736 471152 505953 530046 578232 618387 674604 706728 795069 824516 899472 1011906 1060092 1156464 1236774 1349208 1413456 1590138 1649032 1855161 2023812 2120184 2473548 2698416 3180276 3298064 3710322 4047624 4240368 4947096 5565483 6360552 7420644 8095248 9894192 11130966 12721104 14841288 22261932 29682576 44523864 89047728