Search a number
-
+
3875840 = 2105757
BaseRepresentation
bin1110110010010000000000
321021220122122
432302100000
51443011330
6215023412
744641553
oct16622000
97256578
103875840
112207a81
12136ab68
13a591c7
1472c69a
155185e5
hex3b2400

3875840 has 44 divisors (see below), whose sum is σ = 9309756. Its totient is φ = 1548288.

The previous prime is 3875827. The next prime is 3875869. The reversal of 3875840 is 485783.

It can be written as a sum of positive squares in 2 ways, for example, as 1893376 + 1982464 = 1376^2 + 1408^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3875840.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 4742 + ... + 5498.

Almost surely, 23875840 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 3875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654878).

3875840 is an abundant number, since it is smaller than the sum of its proper divisors (5433916).

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

3875840 is an equidigital number, since it uses as much as digits as its factorization.

3875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 3875840 is about 1968.7153171548. The cubic root of 3875840 is about 157.0803813039.

The spelling of 3875840 in words is "three million, eight hundred seventy-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 757 1024 1280 1514 2560 3028 3785 5120 6056 7570 12112 15140 24224 30280 48448 60560 96896 121120 193792 242240 387584 484480 775168 968960 1937920 3875840