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2882536384 = 26713716971
BaseRepresentation
bin1010101111010000…
…0000001111000000
321102220000000112211
42223310000033000
521400412131014
61154010431504
7131301104110
oct25364001700
97386000484
102882536384
11124a131282
12685432594
1336c267c40
141d4b8b040
1511d0decc4
hexabd003c0

2882536384 has 112 divisors (see below), whose sum is σ = 7140220416. Its totient is φ = 1124121600.

The previous prime is 2882536369. The next prime is 2882536411. The reversal of 2882536384 is 4836352882.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410019 + ... + 416989.

It is an arithmetic number, because the mean of its divisors is an integer number (63751968).

Almost surely, 22882536384 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 2882536384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3570110208).

2882536384 is an abundant number, since it is smaller than the sum of its proper divisors (4257684032).

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

2882536384 is a wasteful number, since it uses less digits than its factorization.

2882536384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7074 (or 7064 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 49.

The square root of 2882536384 is about 53689.2576219862. The cubic root of 2882536384 is about 1423.1748680988.

The spelling of 2882536384 in words is "two billion, eight hundred eighty-two million, five hundred thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 71 91 104 112 142 182 208 224 284 364 416 448 497 568 728 832 923 994 1136 1456 1846 1988 2272 2912 3692 3976 4544 5824 6461 6971 7384 7952 12922 13942 14768 15904 25844 27884 29536 31808 48797 51688 55768 59072 90623 97594 103376 111536 181246 195188 206752 223072 362492 390376 413504 446144 494941 634361 724984 780752 989882 1268722 1449968 1561504 1979764 2537444 2899936 3123008 3464587 3959528 5074888 5799872 6434233 6929174 7919056 10149776 12868466 13858348 15838112 20299552 25736932 27716696 31676224 40599104 45039631 51473864 55433392 90079262 102947728 110866784 180158524 205895456 221733568 360317048 411790912 720634096 1441268192 2882536384