Search a number
-
+
2989047672 = 2332136075261
BaseRepresentation
bin1011001000101001…
…0011111101111000
321201022102100120100
42302022103331320
522110144011142
61212333355400
7134033325462
oct26212237570
97638370510
102989047672
1112a426a836
126b5038b60
1338834b380
14204d95132
1512762db4c
hexb2293f78

2989047672 has 96 divisors (see below), whose sum is σ = 8734078080. Its totient is φ = 918017280.

The previous prime is 2989047671. The next prime is 2989047689. The reversal of 2989047672 is 2767409892.

2989047672 is a `hidden beast` number, since 29 + 89 + 0 + 476 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2989047671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565522 + ... + 570782.

It is an arithmetic number, because the mean of its divisors is an integer number (90979980).

Almost surely, 22989047672 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 2989047672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367039040).

2989047672 is an abundant number, since it is smaller than the sum of its proper divisors (5745030408).

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

2989047672 is a wasteful number, since it uses less digits than its factorization.

2989047672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5893 (or 5886 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 2989047672 is about 54672.1837134754. The cubic root of 2989047672 is about 1440.4923200879.

The spelling of 2989047672 in words is "two billion, nine hundred eighty-nine million, forty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 607 936 1214 1821 2428 3642 4856 5261 5463 7284 7891 10522 10926 14568 15782 15783 21044 21852 23673 31564 31566 42088 43704 47346 47349 63128 63132 68393 71019 94692 94698 126264 136786 142038 189384 189396 205179 273572 284076 378792 410358 547144 568152 615537 820716 1231074 1641432 2462148 3193427 4924296 6386854 9580281 12773708 19160562 25547416 28740843 38321124 41514551 57481686 76642248 83029102 114963372 124543653 166058204 229926744 249087306 332116408 373630959 498174612 747261918 996349224 1494523836 2989047672