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864205992 = 2332132713407
BaseRepresentation
bin110011100000101…
…011110010101000
32020020011012202100
4303200223302220
53232214042432
6221430533400
730262425666
oct6340536250
92206135670
10864205992
11403904831
12201507260
1310a0733c0
1482abdc36
1550d0b07c
hex3382bca8

864205992 has 96 divisors (see below), whose sum is σ = 2530644480. Its totient is φ = 264850560.

The previous prime is 864205987. The next prime is 864206009. The reversal of 864205992 is 299502468.

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, 251953 + ... + 255359.

It is an arithmetic number, because the mean of its divisors is an integer number (26360880).

Almost surely, 2864205992 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 864205992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265322240).

864205992 is an abundant number, since it is smaller than the sum of its proper divisors (1666438488).

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

864205992 is a wasteful number, since it uses less digits than its factorization.

864205992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 864205992 is about 29397.3806996474. The cubic root of 864205992 is about 952.5163177398.

The spelling of 864205992 in words is "eight hundred sixty-four million, two hundred five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 271 312 468 542 813 936 1084 1626 2168 2439 3252 3407 3523 4878 6504 6814 7046 9756 10221 10569 13628 14092 19512 20442 21138 27256 28184 30663 31707 40884 42276 44291 61326 63414 81768 84552 88582 122652 126828 132873 177164 245304 253656 265746 354328 398619 531492 797238 923297 1062984 1594476 1846594 2769891 3188952 3693188 5539782 7386376 8309673 11079564 12002861 16619346 22159128 24005722 33238692 36008583 48011444 66477384 72017166 96022888 108025749 144034332 216051498 288068664 432102996 864205992