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2743742790 = 2325613371483
BaseRepresentation
bin1010001110001010…
…0011000101000110
321002012211120112100
42203202203011012
521104344232130
61132131532530
7124664300055
oct24342430506
97065746470
102743742790
111188853628
12646a5a146
13349590a59
141c057c39c
15110d25c60
hexa38a3146

2743742790 has 96 divisors (see below), whose sum is σ = 7277096736. Its totient is φ = 717050880.

The previous prime is 2743742777. The next prime is 2743742797. The reversal of 2743742790 is 972473472.

2743742790 is a `hidden beast` number, since 2 + 7 + 4 + 374 + 279 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2743742797) 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 47 ways as a sum of consecutive naturals, for example, 1849389 + ... + 1850871.

It is an arithmetic number, because the mean of its divisors is an integer number (75803091).

Almost surely, 22743742790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2743742790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638548368).

2743742790 is an abundant number, since it is smaller than the sum of its proper divisors (4533353946).

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

2743742790 is a wasteful number, since it uses less digits than its factorization.

2743742790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 2743742790 is about 52380.7482764422. The cubic root of 2743742790 is about 1399.9562554359.

The spelling of 2743742790 in words is "two billion, seven hundred forty-three million, seven hundred forty-two thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 337 366 549 610 674 915 1011 1098 1483 1685 1830 2022 2745 2966 3033 3370 4449 5055 5490 6066 7415 8898 10110 13347 14830 15165 20557 22245 26694 30330 41114 44490 61671 66735 90463 102785 123342 133470 180926 185013 205570 271389 308355 370026 452315 499771 542778 616710 814167 904630 925065 999542 1356945 1499313 1628334 1850130 2498855 2713890 2998626 4070835 4497939 4997710 7496565 8141670 8995878 14993130 22489695 30486031 44979390 60972062 91458093 152430155 182916186 274374279 304860310 457290465 548748558 914580930 1371871395 2743742790