Search a number
-
+
4042675728 = 2432713308507
BaseRepresentation
bin1111000011110110…
…0101011000010000
3101102202000012112200
43300331211120100
531234411110403
61505052323200
7202116114420
oct36075453020
911382005480
104042675728
111794a92123
12949a73500
134c5714120
142a4ca2480
15189da4ca3
hexf0f65610

4042675728 has 120 divisors (see below), whose sum is σ = 13924817088. Its totient is φ = 1066196736.

The previous prime is 4042675711. The next prime is 4042675729. The reversal of 4042675728 is 8275762404.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4042675729) 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, 141150 + ... + 167357.

Almost surely, 24042675728 is an apocalyptic number.

4042675728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4042675728 is an abundant number, since it is smaller than the sum of its proper divisors (9882141360).

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

4042675728 is a wasteful number, since it uses less digits than its factorization.

4042675728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308541 (or 308532 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 4042675728 is about 63582.0393507475. The cubic root of 4042675728 is about 1593.0263850087.

The spelling of 4042675728 in words is "four billion, forty-two million, six hundred seventy-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 308507 617014 925521 1234028 1851042 2159549 2468056 2776563 3702084 4010591 4319098 4936112 5553126 6478647 7404168 8021182 8638196 11106252 12031773 12957294 14808336 16042364 17276392 19435941 22212504 24063546 25914588 28074137 32084728 34552784 36095319 38871882 44425008 48127092 51829176 56148274 64169456 72190638 77743764 84222411 96254184 103658352 112296548 144381276 155487528 168444822 192508368 224593096 252667233 288762552 310975056 336889644 449186192 505334466 577525104 673779288 1010668932 1347558576 2021337864 4042675728