Search a number
-
+
2742494832 = 2432711247339
BaseRepresentation
bin1010001101110111…
…0010011001110000
321002010111011122200
42203131302121300
521104034313312
61132045103200
7124650551520
oct24335623160
97063434580
102742494832
111188080a60
12646557b00
13349244a0c
141c0335680
15110b7b0dc
hexa3772670

2742494832 has 120 divisors (see below), whose sum is σ = 9569089920. Its totient is φ = 712333440.

The previous prime is 2742494813. The next prime is 2742494837. The reversal of 2742494832 is 2384942472.

It is a happy number.

2742494832 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742494837) 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, 112582 + ... + 134757.

It is an arithmetic number, because the mean of its divisors is an integer number (79742416).

Almost surely, 22742494832 is an apocalyptic number.

2742494832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2742494832 is an abundant number, since it is smaller than the sum of its proper divisors (6826595088).

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

2742494832 is a wasteful number, since it uses less digits than its factorization.

2742494832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247371 (or 247362 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 2742494832 is about 52368.8345488039. The cubic root of 2742494832 is about 1399.7439722289.

The spelling of 2742494832 in words is "two billion, seven hundred forty-two million, four hundred ninety-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 247339 494678 742017 989356 1484034 1731373 1978712 2226051 2720729 2968068 3462746 3957424 4452102 5194119 5441458 5936136 6925492 8162187 8904204 10388238 10882916 11872272 13850984 15582357 16324374 17808408 19045103 20776476 21765832 24486561 27701968 31164714 32648748 35616816 38090206 41552952 43531664 48973122 57135309 62329428 65297496 76180412 83105904 97946244 114270618 124658856 130594992 152360824 171405927 195892488 228541236 249317712 304721648 342811854 391784976 457082472 685623708 914164944 1371247416 2742494832