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864759942 = 233311493467
BaseRepresentation
bin110011100010110…
…011000010000110
32020021012100122000
4303202303002012
53232334304232
6221450450130
730300224004
oct6342630206
92207170560
10864759942
11404152a42
12201733946
1310a208597
1482bc5a74
1550dba27c
hex338b3086

864759942 has 64 divisors (see below), whose sum is σ = 1997568000. Its totient is φ = 277002720.

The previous prime is 864759913. The next prime is 864759953. The reversal of 864759942 is 249957468.

864759942 is a `hidden beast` number, since 8 + 6 + 4 + 7 + 599 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247693 + ... + 251159.

It is an arithmetic number, because the mean of its divisors is an integer number (31212000).

Almost surely, 2864759942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864759942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998784000).

864759942 is an abundant number, since it is smaller than the sum of its proper divisors (1132808058).

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

864759942 is a wasteful number, since it uses less digits than its factorization.

864759942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658 (or 3652 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 864759942 is about 29406.8009480800. The cubic root of 864759942 is about 952.7197930377.

The spelling of 864759942 in words is "eight hundred sixty-four million, seven hundred fifty-nine thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 149 186 279 298 447 558 837 894 1341 1674 2682 3467 4023 4619 6934 8046 9238 10401 13857 20802 27714 31203 41571 62406 83142 93609 107477 124713 187218 214954 249426 322431 516583 644862 967293 1033166 1549749 1934586 2901879 3099498 4649247 5803758 9298494 13947741 16014073 27895482 32028146 48042219 96084438 144126657 288253314 432379971 864759942