Search a number
-
+
869461272 = 2332234711171
BaseRepresentation
bin110011110100101…
…110110100011000
32020121001012122100
4303310232310120
53240040230042
6222135323400
730355204341
oct6364566430
92217035570
10869461272
11406874139
12203220560
1310b193434
148368b0c8
15514e824c
hex33d2ed18

869461272 has 96 divisors (see below), whose sum is σ = 2509678080. Its totient is φ = 271296960.

The previous prime is 869461259. The next prime is 869461283. The reversal of 869461272 is 272164968.

It is a happy number.

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, 72247 + ... + 83417.

It is an arithmetic number, because the mean of its divisors is an integer number (26142480).

Almost surely, 2869461272 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 869461272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254839040).

869461272 is an abundant number, since it is smaller than the sum of its proper divisors (1640216808).

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

869461272 is a wasteful number, since it uses less digits than its factorization.

869461272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11253 (or 11246 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 869461272 is about 29486.6286984457. The cubic root of 869461272 is about 954.4431837196.

The spelling of 869461272 in words is "eight hundred sixty-nine million, four hundred sixty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 47 69 72 92 94 138 141 184 188 207 276 282 376 414 423 552 564 828 846 1081 1128 1656 1692 2162 3243 3384 4324 6486 8648 9729 11171 12972 19458 22342 25944 33513 38916 44684 67026 77832 89368 100539 134052 201078 256933 268104 402156 513866 525037 770799 804312 1027732 1050074 1541598 1575111 2055464 2100148 2312397 3083196 3150222 4200296 4624794 4725333 6166392 6300444 9249588 9450666 12075851 12600888 18499176 18901332 24151702 36227553 37802664 48303404 72455106 96606808 108682659 144910212 217365318 289820424 434730636 869461272