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2868464880 = 243357191847
BaseRepresentation
bin1010101011111001…
…0100110011110000
321101220112010002000
42222332110303300
521333311334010
61152345054000
7131040356241
oct25276246360
97356463060
102868464880
1112421a0136
12680787300
1336937c0c8
141d2d66cc8
1511bc607c0
hexaaf94cf0

2868464880 has 160 divisors (see below), whose sum is σ = 9899366400. Its totient is φ = 763446528.

The previous prime is 2868464873. The next prime is 2868464899. The reversal of 2868464880 is 884648682.

2868464880 is a `hidden beast` number, since 2 + 86 + 84 + 6 + 488 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1552117 + ... + 1553963.

It is an arithmetic number, because the mean of its divisors is an integer number (61871040).

Almost surely, 22868464880 is an apocalyptic number.

2868464880 is a gapful number since it is divisible by the number (20) 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 2868464880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4949683200).

2868464880 is an abundant number, since it is smaller than the sum of its proper divisors (7030901520).

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

2868464880 is a wasteful number, since it uses less digits than its factorization.

2868464880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The square root of 2868464880 is about 53558.0514955501. The cubic root of 2868464880 is about 1420.8552805600.

The spelling of 2868464880 in words is "two billion, eight hundred sixty-eight million, four hundred sixty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 719 720 1080 1438 1847 2157 2160 2876 3595 3694 4314 5541 5752 6471 7190 7388 8628 9235 10785 11082 11504 12942 14380 14776 16623 17256 18470 19413 21570 22164 25884 27705 28760 29552 32355 33246 34512 36940 38826 43140 44328 49869 51768 55410 57520 64710 66492 73880 77652 83115 86280 88656 97065 99738 103536 110820 129420 132984 147760 155304 166230 172560 194130 199476 221640 249345 258840 265968 310608 332460 388260 398952 443280 498690 517680 664920 776520 797904 997380 1327993 1329840 1553040 1994760 2655986 3983979 3989520 5311972 6639965 7967958 10623944 11951937 13279930 15935916 19919895 21247888 23903874 26559860 31871832 35855811 39839790 47807748 53119720 59759685 63743664 71711622 79679580 95615496 106239440 119519370 143423244 159359160 179279055 191230992 239038740 286846488 318718320 358558110 478077480 573692976 717116220 956154960 1434232440 2868464880