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3875648 = 26741211
BaseRepresentation
bin1110110010001101000000
321021220101112
432302031000
51443010043
6215022452
744641160
oct16621500
97256345
103875648
112207917
12136aa28
13a590aa
1472c5a0
15518518
hex3b2340

3875648 has 56 divisors (see below), whose sum is σ = 9046464. Its totient is φ = 1612800.

The previous prime is 3875629. The next prime is 3875653. The reversal of 3875648 is 8465783.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

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, 18263 + ... + 18473.

It is an arithmetic number, because the mean of its divisors is an integer number (161544).

Almost surely, 23875648 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 3875648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523232).

3875648 is an abundant number, since it is smaller than the sum of its proper divisors (5170816).

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

3875648 is a wasteful number, since it uses less digits than its factorization.

3875648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

The product of its digits is 161280, while the sum is 41.

The square root of 3875648 is about 1968.6665537871. Note that the first 3 decimals coincide. The cubic root of 3875648 is about 157.0777874635.

The spelling of 3875648 in words is "three million, eight hundred seventy-five thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 211 224 287 328 422 448 574 656 844 1148 1312 1477 1688 2296 2624 2954 3376 4592 5908 6752 8651 9184 11816 13504 17302 18368 23632 34604 47264 60557 69208 94528 121114 138416 242228 276832 484456 553664 968912 1937824 3875648