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488928 = 25311463
BaseRepresentation
bin1110111010111100000
3220211200110
41313113200
5111121203
614251320
74104306
oct1672740
9824613
10488928
11304380
121b6b40
1314170b
14ca276
1599d03
hex775e0

488928 has 48 divisors (see below), whose sum is σ = 1403136. Its totient is φ = 147840.

The previous prime is 488921. The next prime is 488947. The reversal of 488928 is 829884.

It is a happy number.

488928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 488928.

It is not an unprimeable number, because it can be changed into a prime (488921) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 825 + ... + 1287.

It is an arithmetic number, because the mean of its divisors is an integer number (29232).

2488928 is an apocalyptic number.

488928 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 488928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701568).

488928 is an abundant number, since it is smaller than the sum of its proper divisors (914208).

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

488928 is a wasteful number, since it uses less digits than its factorization.

488928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 479 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 488928 is about 699.2338664567. The cubic root of 488928 is about 78.7798173809.

The spelling of 488928 in words is "four hundred eighty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 463 528 926 1056 1389 1852 2778 3704 5093 5556 7408 10186 11112 14816 15279 20372 22224 30558 40744 44448 61116 81488 122232 162976 244464 488928