Search a number
-
+
2729840472 = 2332531096563
BaseRepresentation
bin1010001010110110…
…0000111101011000
321001020200021010200
42202231200331120
521042314343342
61130513542200
7124435155402
oct24255407530
97036607120
102729840472
111180a18607
12642274960
13346733c28
141bc79db72
1510e9cb94c
hexa2b60f58

2729840472 has 96 divisors (see below), whose sum is σ = 7603081200. Its totient is φ = 884452608.

The previous prime is 2729840471. The next prime is 2729840479. The reversal of 2729840472 is 2740489272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2729840471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412663 + ... + 419225.

Almost surely, 22729840472 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 2729840472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801540600).

2729840472 is an abundant number, since it is smaller than the sum of its proper divisors (4873240728).

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

2729840472 is a wasteful number, since it uses less digits than its factorization.

2729840472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6737 (or 6730 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2729840472 is about 52247.8752869435. The cubic root of 2729840472 is about 1397.5877630460.

The spelling of 2729840472 in words is "two billion, seven hundred twenty-nine million, eight hundred forty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 109 159 212 218 318 327 424 436 477 636 654 872 954 981 1272 1308 1908 1962 2616 3816 3924 5777 6563 7848 11554 13126 17331 19689 23108 26252 34662 39378 46216 51993 52504 59067 69324 78756 103986 118134 138648 157512 207972 236268 347839 415944 472536 695678 715367 1043517 1391356 1430734 2087034 2146101 2782712 2861468 3130551 4174068 4292202 5722936 6261102 6438303 8348136 8584404 12522204 12876606 17168808 25044408 25753212 37914451 51506424 75828902 113743353 151657804 227486706 303315608 341230059 454973412 682460118 909946824 1364920236 2729840472