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864278016 = 2937312593
BaseRepresentation
bin110011100000111…
…101011000000000
32020020021212112220
4303200331120000
53232223344031
6221432251040
730263145660
oct6340753000
92206255486
10864278016
11403953958
12201540a80
1310a09a114
1482adc1a0
1550d22596
hex3383d600

864278016 has 160 divisors (see below), whose sum is σ = 2717349888. Its totient is φ = 238878720.

The previous prime is 864278003. The next prime is 864278017. The reversal of 864278016 is 610872468.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864278017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332016 + ... + 334608.

Almost surely, 2864278016 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 864278016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358674944).

864278016 is an abundant number, since it is smaller than the sum of its proper divisors (1853071872).

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

864278016 is a wasteful number, since it uses less digits than its factorization.

864278016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 864278016 is about 29398.6056812224. The cubic root of 864278016 is about 952.5427783021.

The spelling of 864278016 in words is "eight hundred sixty-four million, two hundred seventy-eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 512 651 672 744 768 868 896 992 1302 1344 1488 1536 1736 1792 1984 2593 2604 2688 2976 3472 3584 3968 5186 5208 5376 5952 6944 7779 7936 10372 10416 10752 11904 13888 15558 15872 18151 20744 20832 23808 27776 31116 36302 41488 41664 47616 54453 55552 62232 72604 80383 82976 83328 108906 111104 124464 145208 160766 165952 166656 217812 241149 248928 290416 321532 331904 333312 435624 482298 497856 562681 580832 643064 663808 871248 964596 995712 1125362 1161664 1286128 1327616 1688043 1742496 1929192 1991424 2250724 2323328 2572256 3376086 3484992 3858384 3982848 4501448 4646656 5144512 6752172 6969984 7716768 9002896 9293312 10289024 13504344 13939968 15433536 18005792 20578048 27008688 27879936 30867072 36011584 41156096 54017376 61734144 72023168 108034752 123468288 144046336 216069504 288092672 432139008 864278016