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4906261872 = 2432311397907
BaseRepresentation
bin1001001000110111…
…11001110101110000
3110122220222221000200
410210123321311300
540022000334442
62130502115200
7232403352321
oct44433716560
913586887020
104906261872
112098503186
12b4b11bb00
136025cb345
14347860448
151daadc34c
hex1246f9d70

4906261872 has 120 divisors (see below), whose sum is σ = 14277419520. Its totient is φ = 1571080320.

The previous prime is 4906261831. The next prime is 4906261889. The reversal of 4906261872 is 2781626094.

It is a happy number.

4906261872 is a `hidden beast` number, since 4 + 9 + 0 + 626 + 18 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 616543 + ... + 624449.

It is an arithmetic number, because the mean of its divisors is an integer number (118978496).

Almost surely, 24906261872 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 4906261872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7138709760).

4906261872 is an abundant number, since it is smaller than the sum of its proper divisors (9371157648).

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

4906261872 is a wasteful number, since it uses less digits than its factorization.

4906261872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8091 (or 8082 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4906261872 is about 70044.7133765283. The cubic root of 4906261872 is about 1699.2224670388. Note that the first 3 decimals are identical.

The spelling of 4906261872 in words is "four billion, nine hundred six million, two hundred sixty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 139 144 186 248 278 279 372 417 496 556 558 744 834 1112 1116 1251 1488 1668 2224 2232 2502 3336 4309 4464 5004 6672 7907 8618 10008 12927 15814 17236 20016 23721 25854 31628 34472 38781 47442 51708 63256 68944 71163 77562 94884 103416 126512 142326 155124 189768 206832 245117 284652 310248 379536 490234 569304 620496 735351 980468 1099073 1138608 1470702 1960936 2198146 2206053 2941404 3297219 3921872 4396292 4412106 5882808 6594438 8792584 8824212 9891657 11765616 13188876 17585168 17648424 19783314 26377752 34071263 35296848 39566628 52755504 68142526 79133256 102213789 136285052 158266512 204427578 272570104 306641367 408855156 545140208 613282734 817710312 1226565468 1635420624 2453130936 4906261872