Search a number
-
+
2971529088 = 273111973571
BaseRepresentation
bin1011000100011101…
…1110111110000000
321200002110022120220
42301013132332000
522041202412323
61210510103040
7133431403053
oct26107367600
97602408526
102971529088
111295394870
126ab1aaa80
13384826548
14202914a9a
15125d1d0e3
hexb11def80

2971529088 has 128 divisors (see below), whose sum is σ = 8656813440. Its totient is φ = 895641600.

The previous prime is 2971529083. The next prime is 2971529107. The reversal of 2971529088 is 8809251792.

2971529088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×29715290882 = 17659970241660223488, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2971529088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2971529083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 830343 + ... + 833913.

It is an arithmetic number, because the mean of its divisors is an integer number (67631355).

Almost surely, 22971529088 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 2971529088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328406720).

2971529088 is an abundant number, since it is smaller than the sum of its proper divisors (5685284352).

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

2971529088 is a wasteful number, since it uses less digits than its factorization.

2971529088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The square root of 2971529088 is about 54511.7334892223. The cubic root of 2971529088 is about 1437.6725983858.

The spelling of 2971529088 in words is "two billion, nine hundred seventy-one million, five hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 197 264 352 384 394 528 591 704 788 1056 1182 1408 1576 2112 2167 2364 3152 3571 4224 4334 4728 6304 6501 7142 8668 9456 10713 12608 13002 14284 17336 18912 21426 25216 26004 28568 34672 37824 39281 42852 52008 57136 69344 75648 78562 85704 104016 114272 117843 138688 157124 171408 208032 228544 235686 277376 314248 342816 416064 457088 471372 628496 685632 703487 832128 942744 1256992 1371264 1406974 1885488 2110461 2513984 2813948 3770976 4220922 5027968 5627896 7541952 7738357 8441844 11255792 15083904 15476714 16883688 22511584 23215071 30953428 33767376 45023168 46430142 61906856 67534752 90046336 92860284 123813712 135069504 185720568 247627424 270139008 371441136 495254848 742882272 990509696 1485764544 2971529088