Search a number
-
+
2723752116 = 2233227241461
BaseRepresentation
bin1010001001011001…
…0010100010110100
321000211012221111000
42202112102202310
521034240031431
61130135243300
7124332340161
oct24226224264
97024187430
102723752116
11117853a308
12640219530
133453b1957
141bba57068
1510e1c79e6
hexa25928b4

2723752116 has 96 divisors (see below), whose sum is σ = 7137567360. Its totient is φ = 898214400.

The previous prime is 2723752103. The next prime is 2723752117. The reversal of 2723752116 is 6112573272.

2723752116 is a `hidden beast` number, since 2 + 72 + 375 + 211 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2723752117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5908126 + ... + 5908586.

It is an arithmetic number, because the mean of its divisors is an integer number (74349660).

Almost surely, 22723752116 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 2723752116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568783680).

2723752116 is an abundant number, since it is smaller than the sum of its proper divisors (4413815244).

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

2723752116 is a wasteful number, since it uses less digits than its factorization.

2723752116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 934 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 2723752116 is about 52189.5786148921. The cubic root of 2723752116 is about 1396.5479775524.

The spelling of 2723752116 in words is "two billion, seven hundred twenty-three million, seven hundred fifty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 227 241 454 461 482 681 723 908 922 964 1362 1383 1446 1844 2043 2169 2724 2766 2892 4086 4149 4338 5532 6129 6507 8172 8298 8676 12258 12447 13014 16596 24516 24894 26028 49788 54707 104647 109414 111101 164121 209294 218828 222202 313941 328242 333303 418588 444404 492363 627882 656484 666606 941823 984726 999909 1255764 1333212 1477089 1883646 1969452 1999818 2825469 2954178 2999727 3767292 3999636 5650938 5908356 5999454 11301876 11998908 25219927 50439854 75659781 100879708 151319562 226979343 302639124 453958686 680938029 907917372 1361876058 2723752116