Search a number
-
+
2703112048 = 247213337787
BaseRepresentation
bin1010000100011110…
…0011011101110000
320222101101022122001
42201013203131300
521013444041143
61124121023344
7123662034100
oct24107433560
96871338561
102703112048
1111679220aa
12635324b54
133410360b0
141b9003200
1510c49c14d
hexa11e3770

2703112048 has 120 divisors (see below), whose sum is σ = 6588817872. Its totient is φ = 1064835072.

The previous prime is 2703112043. The next prime is 2703112063. The reversal of 2703112048 is 8402113072.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2703112043) 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, 3434311 + ... + 3435097.

Almost surely, 22703112048 is an apocalyptic number.

2703112048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2703112048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294408936).

2703112048 is an abundant number, since it is smaller than the sum of its proper divisors (3885705824).

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

2703112048 is a wasteful number, since it uses less digits than its factorization.

2703112048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 2703112048 is about 51991.4612989479. The cubic root of 2703112048 is about 1393.0114390111.

The spelling of 2703112048 in words is "two billion, seven hundred three million, one hundred twelve thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 337 364 392 637 674 728 784 787 1274 1348 1456 1574 2359 2548 2696 3148 4381 4718 5096 5392 5509 6296 8762 9436 10192 10231 11018 12592 16513 17524 18872 20462 22036 30667 33026 35048 37744 38563 40924 44072 61334 66052 70096 71617 77126 81848 88144 122668 132104 143234 154252 163696 214669 245336 264208 265219 286468 308504 429338 490672 501319 530438 572936 617008 858676 1002638 1060876 1145872 1717352 1856533 2005276 2121752 3434704 3447847 3713066 4010552 4243504 6895694 7426132 8021104 12995731 13791388 14852264 24134929 25991462 27582776 29704528 48269858 51982924 55165552 96539716 103965848 168944503 193079432 207931696 337889006 386158864 675778012 1351556024 2703112048