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4842279904 = 257114741813
BaseRepresentation
bin1001000001001111…
…10101001111100000
3110111110121022021011
410200213311033200
534404110424104
62120254510304
7230665462060
oct44047651740
913443538234
104842279904
112065382620
12b31805394
135c2288aa7
1433d1673a0
151d519e904
hex1209f53e0

4842279904 has 96 divisors (see below), whose sum is σ = 12138771456. Its totient is φ = 1846417920.

The previous prime is 4842279899. The next prime is 4842279961. The reversal of 4842279904 is 4099722484.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94902 + ... + 136714.

It is an arithmetic number, because the mean of its divisors is an integer number (126445536).

Almost surely, 24842279904 is an apocalyptic number.

4842279904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4842279904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6069385728).

4842279904 is an abundant number, since it is smaller than the sum of its proper divisors (7296491552).

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

4842279904 is a wasteful number, since it uses less digits than its factorization.

4842279904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41888 (or 41880 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The square root of 4842279904 is about 69586.4922524480. The cubic root of 4842279904 is about 1691.8036721683.

The spelling of 4842279904 in words is "four billion, eight hundred forty-two million, two hundred seventy-nine thousand, nine hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 47 56 77 88 94 112 154 176 188 224 308 329 352 376 517 616 658 752 1034 1232 1316 1504 2068 2464 2632 3619 4136 5264 7238 8272 10528 14476 16544 28952 41813 57904 83626 115808 167252 292691 334504 459943 585382 669008 919886 1170764 1338016 1839772 1965211 2341528 3219601 3679544 3930422 4683056 6439202 7359088 7860844 9366112 12878404 13756477 14718176 15721688 21617321 25756808 27512954 31443376 43234642 51513616 55025908 62886752 86469284 103027232 110051816 151321247 172938568 220103632 302642494 345877136 440207264 605284988 691754272 1210569976 2421139952 4842279904