Search a number
-
+
2748107964 = 22372311071409
BaseRepresentation
bin1010001111001100…
…1100110010111100
321002112001100102110
42203303030302330
521112003423324
61132405254020
7125046350400
oct24363146274
97075040373
102748107964
111190265208
12648404310
1334a45b8b4
141c0d97100
151113d9329
hexa3ccccbc

2748107964 has 144 divisors (see below), whose sum is σ = 7777244160. Its totient is φ = 752209920.

The previous prime is 2748107927. The next prime is 2748107981. The reversal of 2748107964 is 4697018472.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1949692 + ... + 1951100.

It is an arithmetic number, because the mean of its divisors is an integer number (54008640).

Almost surely, 22748107964 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 2748107964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888622080).

2748107964 is an abundant number, since it is smaller than the sum of its proper divisors (5029136196).

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

2748107964 is a wasteful number, since it uses less digits than its factorization.

2748107964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 2748107964 is about 52422.3994490905. The cubic root of 2748107964 is about 1400.6982849883.

The spelling of 2748107964 in words is "two billion, seven hundred forty-eight million, one hundred seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 107 124 147 186 196 214 217 294 321 372 428 434 588 642 651 749 868 1284 1302 1409 1498 1519 2247 2604 2818 2996 3038 3317 4227 4494 4557 5243 5636 6076 6634 8454 8988 9114 9863 9951 10486 13268 15729 16908 18228 19726 19902 20972 23219 29589 31458 39452 39804 43679 46438 59178 62916 69041 69657 87358 92876 118356 131037 138082 139314 150763 162533 174716 207123 262074 276164 278628 301526 305753 325066 414246 452289 487599 524148 603052 611506 650132 828492 904578 917259 975198 1055341 1223012 1809156 1834518 1950396 2110682 2140271 3166023 3669036 4221364 4280542 4673653 6332046 6420813 7387387 8561084 9347306 12664092 12841626 14020959 14774774 18694612 22162161 25683252 28041918 29549548 32715571 44324322 56083836 65431142 88648644 98146713 130862284 196293426 229008997 392586852 458017994 687026991 916035988 1374053982 2748107964