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490048 = 26131931
BaseRepresentation
bin1110111101001000000
3220220012221
41313221000
5111140143
614300424
74110466
oct1675100
9826187
10490048
113051a9
121b7714
13142090
14ca836
159a2ed
hex77a40

490048 has 56 divisors (see below), whose sum is σ = 1137920. Its totient is φ = 207360.

The previous prime is 490033. The next prime is 490057. The reversal of 490048 is 840094.

It is a super-3 number, since 3×4900483 = 353050733360971776, which contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15793 + ... + 15823.

It is an arithmetic number, because the mean of its divisors is an integer number (20320).

2490048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568960).

490048 is an abundant number, since it is smaller than the sum of its proper divisors (647872).

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

490048 is a wasteful number, since it uses less digits than its factorization.

490048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 490048 is about 700.0342848747. The cubic root of 490048 is about 78.8399258279.

The spelling of 490048 in words is "four hundred ninety thousand, forty-eight".

Divisors: 1 2 4 8 13 16 19 26 31 32 38 52 62 64 76 104 124 152 208 247 248 304 403 416 494 496 589 608 806 832 988 992 1178 1216 1612 1976 1984 2356 3224 3952 4712 6448 7657 7904 9424 12896 15314 15808 18848 25792 30628 37696 61256 122512 245024 490048