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868664832 = 2937173467
BaseRepresentation
bin110011110001101…
…100011000000000
32020112112202010120
4303301230120000
53234334233312
6222110300240
730345346350
oct6361543000
92215482116
10868664832
1140637a822
12202ab7680
1310ac74a79
1483520b60
15513dc28c
hex33c6c600

868664832 has 160 divisors (see below), whose sum is σ = 2665757952. Its totient is φ = 246226944.

The previous prime is 868664791. The next prime is 868664833. The reversal of 868664832 is 238466868.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868664833) 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, 1859863 + ... + 1860329.

Almost surely, 2868664832 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 868664832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332878976).

868664832 is an abundant number, since it is smaller than the sum of its proper divisors (1797093120).

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

868664832 is a wasteful number, since it uses less digits than its factorization.

868664832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 652 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 51.

The square root of 868664832 is about 29473.1204998724. The cubic root of 868664832 is about 954.1516664406.

The spelling of 868664832 in words is "eight hundred sixty-eight million, six hundred sixty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 173 192 224 256 336 346 384 448 467 512 519 672 692 768 896 934 1038 1211 1344 1384 1401 1536 1792 1868 2076 2422 2688 2768 2802 3269 3584 3633 3736 4152 4844 5376 5536 5604 6538 7266 7472 8304 9688 9807 10752 11072 11208 13076 14532 14944 16608 19376 19614 22144 22416 26152 29064 29888 33216 38752 39228 44288 44832 52304 58128 59776 66432 77504 78456 80791 88576 89664 104608 116256 119552 132864 155008 156912 161582 179328 209216 232512 239104 242373 265728 310016 313824 323164 358656 418432 465024 484746 565537 620032 627648 646328 717312 836864 930048 969492 1131074 1255296 1292656 1673728 1696611 1860096 1938984 2262148 2510592 2585312 3393222 3877968 4524296 5021184 5170624 6786444 7755936 9048592 10341248 13572888 15511872 18097184 20682496 27145776 31023744 36194368 41364992 54291552 62047488 72388736 108583104 124094976 144777472 217166208 289554944 434332416 868664832