Search a number
-
+
2751991572 = 223113434007
BaseRepresentation
bin1010010000001000…
…0000111100010100
321002210100122201210
42210002000330110
521114002212242
61133024421420
7125124354021
oct24402007424
97083318653
102751991572
111192478000
12649777870
1334b1bb4a5
141c16c8548
15111904d9c
hexa4080f14

2751991572 has 96 divisors (see below), whose sum is σ = 7229021184. Its totient is φ = 814339680.

The previous prime is 2751991553. The next prime is 2751991573.

It is a happy number.

2751991572 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×27519915723 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2751991573) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684793 + ... + 688799.

It is an arithmetic number, because the mean of its divisors is an integer number (75302304).

Almost surely, 22751991572 is an apocalyptic number.

2751991572 is a gapful number since it is divisible by the number (22) 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 2751991572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614510592).

2751991572 is an abundant number, since it is smaller than the sum of its proper divisors (4477029612).

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

2751991572 is a wasteful number, since it uses less digits than its factorization.

2751991572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4090 (or 4066 counting only the distinct ones).

The product of its digits is 396900, while the sum is 48.

The square root of 2751991572 is about 52459.4278657326. The cubic root of 2751991572 is about 1401.3577935990.

The spelling of 2751991572 in words is "two billion, seven hundred fifty-one million, nine hundred ninety-one thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 121 129 132 172 242 258 363 473 484 516 726 946 1331 1419 1452 1892 2662 2838 3993 4007 5203 5324 5676 7986 8014 10406 12021 15609 15972 16028 20812 24042 31218 44077 48084 57233 62436 88154 114466 132231 171699 172301 176308 228932 264462 343398 344602 484847 516903 528924 686796 689204 969694 1033806 1454541 1895311 1939388 2067612 2909082 3790622 5333317 5685933 5818164 7581244 10666634 11371866 15999951 20848421 21333268 22743732 31999902 41696842 62545263 63999804 83393684 125090526 229332631 250181052 458665262 687997893 917330524 1375995786 2751991572