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4848768 = 27332361
BaseRepresentation
bin10010011111110010000000
3100010100021000
4102133302000
52220130033
6251532000
756133231
oct22376200
910110230
104848768
112811a51
12175a000
131009cc2
14903088
1565ba13
hex49fc80

4848768 has 128 divisors (see below), whose sum is σ = 15177600. Its totient is φ = 1520640.

The previous prime is 4848763. The next prime is 4848773. The reversal of 4848768 is 8678484.

It is an interprime number because it is at equal distance from previous prime (4848763) and next prime (4848773).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×48487682 = 47021102235648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4848763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79458 + ... + 79518.

It is an arithmetic number, because the mean of its divisors is an integer number (118575).

Almost surely, 24848768 is an apocalyptic number.

4848768 is a gapful number since it is divisible by the number (48) 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 4848768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588800).

4848768 is an abundant number, since it is smaller than the sum of its proper divisors (10328832).

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

4848768 is a wasteful number, since it uses less digits than its factorization.

4848768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 4848768 is about 2201.9918255979. The cubic root of 4848768 is about 169.2558942141.

The spelling of 4848768 in words is "four million, eight hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 61 64 69 72 92 96 108 122 128 138 144 183 184 192 207 216 244 276 288 366 368 384 414 432 488 549 552 576 621 732 736 828 864 976 1098 1104 1152 1242 1403 1464 1472 1647 1656 1728 1952 2196 2208 2484 2806 2928 2944 3294 3312 3456 3904 4209 4392 4416 4968 5612 5856 6588 6624 7808 8418 8784 8832 9936 11224 11712 12627 13176 13248 16836 17568 19872 22448 23424 25254 26352 26496 33672 35136 37881 39744 44896 50508 52704 67344 70272 75762 79488 89792 101016 105408 134688 151524 179584 202032 210816 269376 303048 404064 538752 606096 808128 1212192 1616256 2424384 4848768