Search a number
-
+
2988543264 = 253729153353
BaseRepresentation
bin1011001000100001…
…1000110100100000
321201021110201122120
42302020120310200
522110031341024
61212314504240
7134026125060
oct26210306440
97637421576
102988543264
1112a3a55873
126b4a35080
133882028c5
14204ca33a0
1512757e479
hexb2218d20

2988543264 has 96 divisors (see below), whose sum is σ = 9274849920. Its totient is φ = 824420352.

The previous prime is 2988543263. The next prime is 2988543281. The reversal of 2988543264 is 4623458892.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2988543263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57189 + ... + 96164.

It is an arithmetic number, because the mean of its divisors is an integer number (96613020).

Almost surely, 22988543264 is an apocalyptic number.

2988543264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2988543264 is an abundant number, since it is smaller than the sum of its proper divisors (6286306656).

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

2988543264 is a wasteful number, since it uses less digits than its factorization.

2988543264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153402 (or 153394 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The square root of 2988543264 is about 54667.5704965933. The cubic root of 2988543264 is about 1440.4112868398.

The spelling of 2988543264 in words is "two billion, nine hundred eighty-eight million, five hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 3248 4872 6496 9744 19488 153353 306706 460059 613412 920118 1073471 1226824 1840236 2146942 2453648 3220413 3680472 4293884 4447237 4907296 6440826 7360944 8587768 8894474 12881652 13341711 14721888 17175536 17788948 25763304 26683422 31130659 34351072 35577896 51526608 53366844 62261318 71155792 93391977 103053216 106733688 124522636 142311584 186783954 213467376 249045272 373567908 426934752 498090544 747135816 996181088 1494271632 2988543264