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861081048 = 2332313171217
BaseRepresentation
bin110011010100110…
…000110111011000
32020000021110010200
4303110300313120
53230414043143
6221235542200
730224032242
oct6324606730
92200243120
10861081048
1140206aa33
1220045a960
1310951ac19
1482509092
15508e01d3
hex33530dd8

861081048 has 96 divisors (see below), whose sum is σ = 2416901760. Its totient is φ = 276664320.

The previous prime is 861081047. The next prime is 861081071. The reversal of 861081048 is 840180168.

861081048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861081041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 706936 + ... + 708152.

It is an arithmetic number, because the mean of its divisors is an integer number (25176060).

Almost surely, 2861081048 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 861081048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208450880).

861081048 is an abundant number, since it is smaller than the sum of its proper divisors (1555820712).

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

861081048 is a wasteful number, since it uses less digits than its factorization.

861081048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 861081048 is about 29344.1825239689. The cubic root of 861081048 is about 951.3668406001.

The spelling of 861081048 in words is "eight hundred sixty-one million, eighty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 317 372 558 634 744 951 1116 1217 1268 1902 2232 2434 2536 2853 3651 3804 4868 5706 7302 7608 9736 9827 10953 11412 14604 19654 21906 22824 29208 29481 37727 39308 43812 58962 75454 78616 87624 88443 113181 117924 150908 176886 226362 235848 301816 339543 353772 385789 452724 679086 707544 771578 905448 1157367 1358172 1543156 2314734 2716344 3086312 3472101 4629468 6944202 9258936 11959459 13888404 23918918 27776808 35878377 47837836 71756754 95675672 107635131 143513508 215270262 287027016 430540524 861081048