Search a number
-
+
883880928 = 253273114143
BaseRepresentation
bin110100101011101…
…111001111100000
32021121011210200200
4310223233033200
53302233142203
6223412345200
730621602220
oct6453571740
92247153620
10883880928
11413a22907
12208015200
13111171888
1485562080
15528e59a3
hex34aef3e0

883880928 has 144 divisors (see below), whose sum is σ = 2965487616. Its totient is φ = 244373760.

The previous prime is 883880927. The next prime is 883880939. The reversal of 883880928 is 829088388.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (883880927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55425 + ... + 69567.

It is an arithmetic number, because the mean of its divisors is an integer number (20593664).

Almost surely, 2883880928 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 883880928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482743808).

883880928 is an abundant number, since it is smaller than the sum of its proper divisors (2081606688).

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

883880928 is a wasteful number, since it uses less digits than its factorization.

883880928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14197 (or 14186 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 883880928 is about 29730.1350148297. The cubic root of 883880928 is about 959.6906294793.

The spelling of 883880928 in words is "eight hundred eighty-three million, eight hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 84 93 96 112 124 126 144 168 186 217 224 248 252 279 288 336 372 434 496 504 558 651 672 744 868 992 1008 1116 1302 1488 1736 1953 2016 2232 2604 2976 3472 3906 4464 5208 6944 7812 8928 10416 14143 15624 20832 28286 31248 42429 56572 62496 84858 99001 113144 127287 169716 198002 226288 254574 297003 339432 396004 438433 452576 509148 594006 678864 792008 876866 891009 1018296 1188012 1315299 1357728 1584016 1753732 1782018 2036592 2376024 2630598 3069031 3168032 3507464 3564036 3945897 4073184 4752048 5261196 6138062 7014928 7128072 7891794 9207093 9504096 10522392 12276124 14029856 14256144 15783588 18414186 21044784 24552248 27621279 28512288 31567176 36828372 42089568 49104496 55242558 63134352 73656744 98208992 110485116 126268704 147313488 220970232 294626976 441940464 883880928