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4485648 = 243113827
BaseRepresentation
bin10001000111001000010000
322102220011010
4101013020100
52122020043
6240050520
753061456
oct21071020
98386133
104485648
112594152
121603a40
13c1093b
1484a9d6
155d9133
hex447210

4485648 has 40 divisors (see below), whose sum is σ = 11704608. Its totient is φ = 1480192.

The previous prime is 4485643. The next prime is 4485661. The reversal of 4485648 is 8465844.

It is not an unprimeable number, because it can be changed into a prime (4485643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5011 + ... + 5837.

Almost surely, 24485648 is an apocalyptic number.

4485648 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 4485648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5852304).

4485648 is an abundant number, since it is smaller than the sum of its proper divisors (7218960).

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

4485648 is a wasteful number, since it uses less digits than its factorization.

4485648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 945 counting only the distinct ones).

The product of its digits is 122880, while the sum is 39.

The square root of 4485648 is about 2117.9348431904. The cubic root of 4485648 is about 164.9206597433.

The spelling of 4485648 in words is "four million, four hundred eighty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 827 904 1356 1654 1808 2481 2712 3308 4962 5424 6616 9924 13232 19848 39696 93451 186902 280353 373804 560706 747608 1121412 1495216 2242824 4485648