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4982823648 = 253311524287
BaseRepresentation
bin1001010001111111…
…11101101011100000
3110212021001200001000
410220333331223200
540201100324043
62142235112000
7234323205435
oct45077755340
913767050030
104982823648
112127746180
12b708a2600
1361542677a
14353aadb8c
151e26b22d3
hex128ffdae0

4982823648 has 96 divisors (see below), whose sum is σ = 15854469120. Its totient is φ = 1509943680.

The previous prime is 4982823623. The next prime is 4982823689. The reversal of 4982823648 is 8463282894.

4982823648 is a `hidden beast` number, since 498 + 2 + 82 + 36 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 4982823594 and 4982823603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252640 + ... + 271647.

It is an arithmetic number, because the mean of its divisors is an integer number (165150720).

Almost surely, 24982823648 is an apocalyptic number.

4982823648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4982823648 is an abundant number, since it is smaller than the sum of its proper divisors (10871645472).

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

4982823648 is a wasteful number, since it uses less digits than its factorization.

4982823648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524317 (or 524303 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 4982823648 is about 70589.1184815337. The cubic root of 4982823648 is about 1708.0156236288.

The spelling of 4982823648 in words is "four billion, nine hundred eighty-two million, eight hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 524287 1048574 1572861 2097148 3145722 4194296 4718583 5767157 6291444 8388592 9437166 11534314 12582888 14155749 16777184 17301471 18874332 23068628 25165776 28311498 34602942 37748664 46137256 50331552 51904413 56622996 69205884 75497328 92274512 103808826 113245992 138411768 150994656 155713239 184549024 207617652 226491984 276823536 311426478 415235304 452983968 553647072 622852956 830470608 1245705912 1660941216 2491411824 4982823648