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863054352 = 2436611213
BaseRepresentation
bin110011011100010…
…010101000010000
32020010222201000000
4303130102220100
53231420214402
6221350130000
730246561306
oct6334225020
92203881000
10863054352
11403198566
12201050900
13109a5c164
14828a0276
1550b7ec1c
hex33712a10

863054352 has 140 divisors (see below), whose sum is σ = 2550305644. Its totient is φ = 282735360.

The previous prime is 863054329. The next prime is 863054359. The reversal of 863054352 is 253450368.

It is a happy number.

863054352 is a `hidden beast` number, since 8 + 63 + 0 + 543 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31539456 + 831514896 = 5616^2 + 28836^2 .

It is a super-2 number, since 2×8630543522 = 1489725629012279808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (863054359) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 710898 + ... + 712110.

Almost surely, 2863054352 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 863054352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275152822).

863054352 is an abundant number, since it is smaller than the sum of its proper divisors (1687251292).

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

863054352 is a wasteful number, since it uses less digits than its factorization.

863054352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 863054352 is about 29377.7867103701. The cubic root of 863054352 is about 952.0930222405.

The spelling of 863054352 in words is "eight hundred sixty-three million, fifty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 81 108 122 144 162 183 216 243 244 324 366 432 486 488 549 648 729 732 972 976 1098 1213 1296 1458 1464 1647 1944 2196 2426 2916 2928 3294 3639 3888 4392 4852 4941 5832 6588 7278 8784 9704 9882 10917 11664 13176 14556 14823 19408 19764 21834 26352 29112 29646 32751 39528 43668 44469 58224 59292 65502 73993 79056 87336 88938 98253 118584 131004 147986 174672 177876 196506 221979 237168 262008 294759 295972 355752 393012 443958 524016 589518 591944 665937 711504 786024 884277 887916 1179036 1183888 1331874 1572048 1768554 1775832 1997811 2358072 2663748 3537108 3551664 3995622 4716144 5327496 5993433 7074216 7991244 10654992 11986866 14148432 15982488 17980299 23973732 31964976 35960598 47947464 53940897 71921196 95894928 107881794 143842392 215763588 287684784 431527176 863054352