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4198900 = 2252199211
BaseRepresentation
bin10000000001000111110100
321220022210211
4100001013310
52033331100
6225555204
750455456
oct20010764
97808724
104198900
112408772
1214a5b04
13b40274
147b42d6
1557e1ba
hex4011f4

4198900 has 36 divisors (see below), whose sum is σ = 9200800. Its totient is φ = 1663200.

The previous prime is 4198891. The next prime is 4198921. The reversal of 4198900 is 98914.

It is a super-2 number, since 2×41989002 = 35261522420000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19795 + ... + 20005.

Almost surely, 24198900 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 4198900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4600400).

4198900 is an abundant number, since it is smaller than the sum of its proper divisors (5001900).

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

4198900 is a wasteful number, since it uses less digits than its factorization.

4198900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 4198900 is about 2049.1217630975. The cubic root of 4198900 is about 161.3287778844.

The spelling of 4198900 in words is "four million, one hundred ninety-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 199 211 398 422 796 844 995 1055 1990 2110 3980 4220 4975 5275 9950 10550 19900 21100 41989 83978 167956 209945 419890 839780 1049725 2099450 4198900