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484848 = 243271337
BaseRepresentation
bin1110110010111110000
3220122002100
41312113300
5111003343
614220400
74056360
oct1662760
9818070
10484848
11301301
121b4700
1313c8c0
14c89a0
15989d3
hex765f0

484848 has 120 divisors (see below), whose sum is σ = 1715168. Its totient is φ = 124416.

The previous prime is 484829. The next prime is 484853. The reversal of 484848 is 848484.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

484848 is an undulating number in base 10.

484848 is a modest number, since divided by 4848 gives 48 as remainder.

It is a congruent number.

It is an unprimeable number.

484848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13086 + ... + 13122.

2484848 is an apocalyptic number.

484848 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 484848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857584).

484848 is an abundant number, since it is smaller than the sum of its proper divisors (1230320).

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

484848 is a wasteful number, since it uses less digits than its factorization.

484848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 62 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 484848 is about 696.3102756674. The cubic root of 484848 is about 78.5600714006.

The spelling of 484848 in words is "four hundred eighty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 37 39 42 48 52 56 63 72 74 78 84 91 104 111 112 117 126 144 148 156 168 182 208 222 234 252 259 273 296 312 333 336 364 444 468 481 504 518 546 592 624 666 728 777 819 888 936 962 1008 1036 1092 1332 1443 1456 1554 1638 1776 1872 1924 2072 2184 2331 2664 2886 3108 3276 3367 3848 4144 4329 4368 4662 5328 5772 6216 6552 6734 7696 8658 9324 10101 11544 12432 13104 13468 17316 18648 20202 23088 26936 30303 34632 37296 40404 53872 60606 69264 80808 121212 161616 242424 484848