Search a number
-
+
869883672 = 23373251421
BaseRepresentation
bin110011110110010…
…101111100011000
32020121211200001210
4303312111330120
53240142234142
6222152343120
730361614000
oct6366257430
92217750053
10869883672
11407032529
122033a4aa0
1310b2b0788
148375b000
155157d49c
hex33d95f18

869883672 has 128 divisors (see below), whose sum is σ = 2552256000. Its totient is φ = 246960000.

The previous prime is 869883671. The next prime is 869883683. The reversal of 869883672 is 276388968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869883671) 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 31 ways as a sum of consecutive naturals, for example, 2066022 + ... + 2066442.

It is an arithmetic number, because the mean of its divisors is an integer number (19939500).

Almost surely, 2869883672 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 869883672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276128000).

869883672 is an abundant number, since it is smaller than the sum of its proper divisors (1682372328).

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

869883672 is a wasteful number, since it uses less digits than its factorization.

869883672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 684 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 57.

The square root of 869883672 is about 29493.7903973023. The cubic root of 869883672 is about 954.5977206129.

The spelling of 869883672 in words is "eight hundred sixty-nine million, eight hundred eighty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 251 294 343 392 421 502 588 686 753 842 1004 1029 1176 1263 1372 1506 1684 1757 2008 2058 2526 2744 2947 3012 3368 3514 4116 5052 5271 5894 6024 7028 8232 8841 10104 10542 11788 12299 14056 17682 20629 21084 23576 24598 35364 36897 41258 42168 49196 61887 70728 73794 82516 86093 98392 105671 123774 144403 147588 165032 172186 211342 247548 258279 288806 295176 317013 344372 422684 433209 495096 516558 577612 634026 688744 739697 845368 866418 1033116 1155224 1268052 1479394 1732836 2066232 2219091 2536104 2958788 3465672 4438182 5177879 5917576 8876364 10355758 15533637 17752728 20711516 31067274 36245153 41423032 62134548 72490306 108735459 124269096 144980612 217470918 289961224 434941836 869883672