Search a number
-
+
864439092 = 22321131671051
BaseRepresentation
bin110011100001100…
…100101100110100
32020020121001111200
4303201210230310
53232244022332
6221435532500
730264416406
oct6341445464
92206531450
10864439092
11403a53980
122015ba130
1310a12552a
1482b40b76
1550d5517c
hex33864b34

864439092 has 144 divisors (see below), whose sum is σ = 2499753984. Its totient is φ = 249480000.

The previous prime is 864439091. The next prime is 864439097. The reversal of 864439092 is 290934468.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864439091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 821967 + ... + 823017.

Almost surely, 2864439092 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 864439092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249876992).

864439092 is an abundant number, since it is smaller than the sum of its proper divisors (1635314892).

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

864439092 is a wasteful number, since it uses less digits than its factorization.

864439092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 864439092 is about 29401.3450712718. The cubic root of 864439092 is about 952.6019499447.

The spelling of 864439092 in words is "eight hundred sixty-four million, four hundred thirty-nine thousand, ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 67 93 99 124 132 134 186 198 201 268 279 341 372 396 402 558 603 682 737 804 1023 1051 1116 1206 1364 1474 2046 2077 2102 2211 2412 2948 3069 3153 4092 4154 4204 4422 6138 6231 6306 6633 8308 8844 9459 11561 12276 12462 12612 13266 18693 18918 22847 23122 24924 26532 32581 34683 37386 37836 45694 46244 65162 68541 69366 70417 74772 91388 97743 104049 130324 137082 138732 140834 195486 205623 208098 211251 274164 281668 293229 358391 390972 411246 416196 422502 586458 633753 716782 774587 822492 845004 1075173 1172916 1267506 1433564 1549174 2150346 2182927 2323761 2535012 3098348 3225519 4300692 4365854 4647522 6451038 6548781 6971283 8731708 9295044 12902076 13097562 13942566 19646343 24012197 26195124 27885132 39292686 48024394 72036591 78585372 96048788 144073182 216109773 288146364 432219546 864439092