Search a number
-
+
2996647296 = 273431271429
BaseRepresentation
bin1011001010011101…
…0011010110000000
321201211201110021220
42302213103112000
522114120203141
61213204315040
7134155040016
oct26247232600
97654643256
102996647296
1112a8590515
126b76a2a80
13389aac4a6
14205db28b6
15128130766
hexb29d3580

2996647296 has 128 divisors (see below), whose sum is σ = 8214835200. Its totient is φ = 967292928.

The previous prime is 2996647249. The next prime is 2996647309. The reversal of 2996647296 is 6927466992.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×29966472962 = 17959790033248223232, which contains 22 as substring.

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, 2096310 + ... + 2097738.

It is an arithmetic number, because the mean of its divisors is an integer number (64178400).

Almost surely, 22996647296 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 2996647296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107417600).

2996647296 is an abundant number, since it is smaller than the sum of its proper divisors (5218187904).

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

2996647296 is a wasteful number, since it uses less digits than its factorization.

2996647296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1604 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 60.

The square root of 2996647296 is about 54741.6413345453. The cubic root of 2996647296 is about 1441.7120993816.

The spelling of 2996647296 in words is "two billion, nine hundred ninety-six million, six hundred forty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 127 128 129 172 192 254 258 344 381 384 508 516 688 762 1016 1032 1376 1429 1524 2032 2064 2752 2858 3048 4064 4128 4287 5461 5504 5716 6096 8128 8256 8574 10922 11432 12192 16256 16383 16512 17148 21844 22864 24384 32766 34296 43688 45728 48768 61447 65532 68592 87376 91456 122894 131064 137184 174752 181483 182912 184341 245788 262128 274368 349504 362966 368682 491576 524256 544449 548736 699008 725932 737364 983152 1048512 1088898 1451864 1474728 1966304 2097024 2177796 2903728 2949456 3932608 4355592 5807456 5898912 7803769 7865216 8711184 11614912 11797824 15607538 17422368 23229824 23411307 23595648 31215076 34844736 46822614 62430152 69689472 93645228 124860304 187290456 249720608 374580912 499441216 749161824 998882432 1498323648 2996647296