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2732889072 = 2432331471699
BaseRepresentation
bin1010001011100100…
…1001001111110000
321001110102011000210
42202321021033300
521044104422242
61131103144120
7124503113424
oct24271111760
97043364023
102732889072
111182710011
126432a5040
13347260734
141bcd54b84
1510edced9c
hexa2e493f0

2732889072 has 160 divisors (see below), whose sum is σ = 7770931200. Its totient is φ = 824820480.

The previous prime is 2732889059. The next prime is 2732889113. The reversal of 2732889072 is 2709882372.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1607679 + ... + 1609377.

It is an arithmetic number, because the mean of its divisors is an integer number (48568320).

Almost surely, 22732889072 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 2732889072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885465600).

2732889072 is an abundant number, since it is smaller than the sum of its proper divisors (5038042128).

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

2732889072 is a wasteful number, since it uses less digits than its factorization.

2732889072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 2732889072 is about 52277.0415383273. The cubic root of 2732889072 is about 1398.1078301848.

The spelling of 2732889072 in words is "two billion, seven hundred thirty-two million, eight hundred eighty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 46 47 48 62 69 92 93 94 124 138 141 184 186 188 248 276 282 368 372 376 496 552 564 713 744 752 1081 1104 1128 1426 1457 1488 1699 2139 2162 2256 2852 2914 3243 3398 4278 4324 4371 5097 5704 5828 6486 6796 8556 8648 8742 10194 11408 11656 12972 13592 17112 17296 17484 20388 23312 25944 27184 33511 34224 34968 39077 40776 51888 52669 67022 69936 78154 79853 81552 100533 105338 117231 134044 156308 158007 159706 201066 210676 234462 239559 268088 312616 316014 319412 402132 421352 468924 479118 536176 625232 632028 638824 804264 842704 937848 958236 1211387 1264056 1277648 1608528 1836619 1875696 1916472 2422774 2475443 2528112 3634161 3673238 3832944 4845548 4950886 5509857 7268322 7346476 7426329 9691096 9901772 11019714 14536644 14692952 14852658 19382192 19803544 22039428 29073288 29385904 29705316 39607088 44078856 56935189 58146576 59410632 88157712 113870378 118821264 170805567 227740756 341611134 455481512 683222268 910963024 1366444536 2732889072