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866490048 = 2634592833
BaseRepresentation
bin110011101001011…
…001011011000000
32020101110020220000
4303221121123000
53233310140143
6221551520000
730321021024
oct6351313300
92211406800
10866490048
11405124886
12202229000
1310a692c08
1483116384
155110cbd3
hex33a596c0

866490048 has 140 divisors (see below), whose sum is σ = 2613004680. Its totient is φ = 283834368.

The previous prime is 866489963. The next prime is 866490061. The reversal of 866490048 is 840094668.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 866489985 and 866490012.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 304440 + ... + 307272.

Almost surely, 2866490048 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 866490048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306502340).

866490048 is an abundant number, since it is smaller than the sum of its proper divisors (1746514632).

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

866490048 is a wasteful number, since it uses less digits than its factorization.

866490048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 866490048 is about 29436.2030160141. The cubic root of 866490048 is about 953.3547315631.

The spelling of 866490048 in words is "eight hundred sixty-six million, four hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 81 96 108 118 144 162 177 192 216 236 288 324 354 432 472 531 576 648 708 864 944 1062 1296 1416 1593 1728 1888 2124 2592 2832 2833 3186 3776 4248 4779 5184 5664 5666 6372 8496 8499 9558 11328 11332 12744 16992 16998 19116 22664 25488 25497 33984 33996 38232 45328 50976 50994 67992 76464 76491 90656 101952 101988 135984 152928 152982 167147 181312 203976 229473 271968 305856 305964 334294 407952 458946 501441 543936 611928 668588 815904 917892 1002882 1223856 1337176 1504323 1631808 1835784 2005764 2447712 2674352 3008646 3671568 4011528 4512969 4895424 5348704 6017292 7343136 8023056 9025938 10697408 12034584 13538907 14686272 16046112 18051876 24069168 27077814 32092224 36103752 48138336 54155628 72207504 96276672 108311256 144415008 216622512 288830016 433245024 866490048