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3999648 = 25361683
BaseRepresentation
bin1111010000011110100000
321112012111010
433100132200
52010442043
6221420520
745665532
oct17203640
97465433
103999648
112291aa4
12140a740
13aa0673
14761852
15540133
hex3d07a0

3999648 has 48 divisors (see below), whose sum is σ = 10686816. Its totient is φ = 1309440.

The previous prime is 3999647. The next prime is 3999659. The reversal of 3999648 is 8469993.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3999597 and 3999606.

It is not an unprimeable number, because it can be changed into a prime (3999647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5515 + ... + 6197.

It is an arithmetic number, because the mean of its divisors is an integer number (222642).

Almost surely, 23999648 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 3999648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343408).

3999648 is an abundant number, since it is smaller than the sum of its proper divisors (6687168).

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

3999648 is a wasteful number, since it uses less digits than its factorization.

3999648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 749 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 3999648 is about 1999.9119980639. The cubic root of 3999648 is about 158.7354486838.

The spelling of 3999648 in words is "three million, nine hundred ninety-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 683 732 976 1366 1464 1952 2049 2732 2928 4098 5464 5856 8196 10928 16392 21856 32784 41663 65568 83326 124989 166652 249978 333304 499956 666608 999912 1333216 1999824 3999648