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2730485376 = 2734534969
BaseRepresentation
bin1010001010111111…
…1110011010000000
321001021220000210000
42202233332122000
521043001013001
61130535440000
7124443512523
oct24257763200
97037800700
102730485376
111181319093
12642526000
133468cb628
141bc8cabba
1510eaa7a86
hexa2bfe680

2730485376 has 160 divisors (see below), whose sum is σ = 8280864900. Its totient is φ = 892809216.

The previous prime is 2730485353. The next prime is 2730485377. The reversal of 2730485376 is 6735840372.

2730485376 is a `hidden beast` number, since 2 + 73 + 0 + 48 + 537 + 6 = 666.

2730485376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2724840000 + 5645376 = 52200^2 + 2376^2 .

It is a super-2 number, since 2×27304853762 = 14911100777099722752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2730485377) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 547020 + ... + 551988.

Almost surely, 22730485376 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 2730485376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140432450).

2730485376 is an abundant number, since it is smaller than the sum of its proper divisors (5550379524).

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

2730485376 is an equidigital number, since it uses as much as digits as its factorization.

2730485376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 2730485376 is about 52254.0465035963. The cubic root of 2730485376 is about 1397.6978108652.

The spelling of 2730485376 in words is "two billion, seven hundred thirty million, four hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 81 96 106 108 128 144 159 162 192 212 216 288 318 324 384 424 432 477 576 636 648 848 864 954 1152 1272 1296 1431 1696 1728 1908 2544 2592 2862 3392 3456 3816 4293 4969 5088 5184 5724 6784 7632 8586 9938 10176 10368 11448 14907 15264 17172 19876 20352 22896 29814 30528 34344 39752 44721 45792 59628 61056 68688 79504 89442 91584 119256 134163 137376 159008 178884 183168 238512 263357 268326 274752 318016 357768 402489 477024 526714 536652 549504 636032 715536 790071 804978 954048 1053428 1073304 1431072 1580142 1609956 1908096 2106856 2146608 2370213 2862144 3160284 3219912 4213712 4293216 4740426 5724288 6320568 6439824 7110639 8427424 8586432 9480852 12641136 12879648 14221278 16854848 17172864 18961704 21331917 25282272 25759296 28442556 33709696 37923408 42663834 50564544 51518592 56885112 75846816 85327668 101129088 113770224 151693632 170655336 227540448 303387264 341310672 455080896 682621344 910161792 1365242688 2730485376