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2871252984 = 233313722819
BaseRepresentation
bin1010101100100011…
…1101011111111000
321102002202202122010
42223020331133320
521340020043414
61152524525520
7131103150645
oct25310753770
97362682563
102871252984
111243824956
126816b08a0
13369b17182
141d3490dcc
1511c111959
hexab23d7f8

2871252984 has 96 divisors (see below), whose sum is σ = 7618060800. Its totient is φ = 900858240.

The previous prime is 2871252973. The next prime is 2871252997. The reversal of 2871252984 is 4892521782.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1017127 + ... + 1019945.

It is an arithmetic number, because the mean of its divisors is an integer number (79354800).

Almost surely, 22871252984 is an apocalyptic number.

2871252984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2871252984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809030400).

2871252984 is an abundant number, since it is smaller than the sum of its proper divisors (4746807816).

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

2871252984 is a wasteful number, since it uses less digits than its factorization.

2871252984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2892 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The square root of 2871252984 is about 53584.0739772556. The cubic root of 2871252984 is about 1421.3154813580.

The spelling of 2871252984 in words is "two billion, eight hundred seventy-one million, two hundred fifty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 31 37 62 74 93 111 124 148 186 222 248 296 372 444 744 888 1147 1369 2294 2738 2819 3441 4107 4588 5476 5638 6882 8214 8457 9176 10952 11276 13764 16428 16914 22552 27528 32856 33828 42439 67656 84878 87389 104303 127317 169756 174778 208606 254634 262167 312909 339512 349556 417212 509268 524334 625818 699112 834424 1018536 1048668 1251636 2097336 2503272 3233393 3859211 6466786 7718422 9700179 11577633 12933572 15436844 19400358 23155266 25867144 30873688 38800716 46310532 77601432 92621064 119635541 239271082 358906623 478542164 717813246 957084328 1435626492 2871252984