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861814932 = 2231117735261
BaseRepresentation
bin110011010111100…
…100000010010100
32020001122201211120
4303113210002110
53231111034212
6221303403540
730233206656
oct6327440224
92201581746
10861814932
11402521350
122007535b0
13109716c84
148265a6d6
15509d788c
hex335e4094

861814932 has 96 divisors (see below), whose sum is σ = 2355018624. Its totient is φ = 242380800.

The previous prime is 861814913. The next prime is 861814963. The reversal of 861814932 is 239418168.

It is a super-3 number, since 3×8618149323 (a number of 28 digits) contains 333 as substring.

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, 161182 + ... + 166442.

It is an arithmetic number, because the mean of its divisors is an integer number (24531444).

Almost surely, 2861814932 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 861814932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177509312).

861814932 is an abundant number, since it is smaller than the sum of its proper divisors (1493203692).

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

861814932 is a wasteful number, since it uses less digits than its factorization.

861814932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5369 (or 5367 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 861814932 is about 29356.6846220754. The cubic root of 861814932 is about 951.6370415084.

The spelling of 861814932 in words is "eight hundred sixty-one million, eight hundred fourteen thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 73 102 132 146 187 204 219 292 374 438 561 748 803 876 1122 1241 1606 2244 2409 2482 3212 3723 4818 4964 5261 7446 9636 10522 13651 14892 15783 21044 27302 31566 40953 54604 57871 63132 81906 89437 115742 163812 173613 178874 231484 268311 347226 357748 384053 536622 694452 768106 983807 1073244 1152159 1536212 1967614 2304318 2951421 3935228 4224583 4608636 5902842 6528901 8449166 11805684 12673749 13057802 16898332 19586703 25347498 26115604 39173406 50694996 71817911 78346812 143635822 215453733 287271644 430907466 861814932