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3998800 = 245213769
BaseRepresentation
bin1111010000010001010000
321112011022201
433100101100
52010430200
6221412544
745663211
oct17202120
97464281
103998800
1122913a3
12140a154
13aa0170
14761408
1553ec6a
hex3d0450

3998800 has 60 divisors (see below), whose sum is σ = 10359580. Its totient is φ = 1474560.

The previous prime is 3998789. The next prime is 3998801. The reversal of 3998800 is 88993.

It can be written as a sum of positive squares in 6 ways, for example, as 583696 + 3415104 = 764^2 + 1848^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3998800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3998801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4816 + ... + 5584.

Almost surely, 23998800 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 3998800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5179790).

3998800 is an abundant number, since it is smaller than the sum of its proper divisors (6360780).

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

3998800 is a wasteful number, since it uses less digits than its factorization.

3998800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 3998800 is about 1999.6999774966. The cubic root of 3998800 is about 158.7242295986.

The spelling of 3998800 in words is "three million, nine hundred ninety-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 769 1040 1300 1538 2600 3076 3845 5200 6152 7690 9997 12304 15380 19225 19994 30760 38450 39988 49985 61520 76900 79976 99970 153800 159952 199940 249925 307600 399880 499850 799760 999700 1999400 3998800