Search a number
-
+
3898100 = 2252172293
BaseRepresentation
bin1110110111101011110100
321100001012002
432313223310
51444214400
6215314432
745063503
oct16675364
97301162
103898100
112222778
12137ba18
13a6638b
1473683a
1551eed5
hex3b7af4

3898100 has 36 divisors (see below), whose sum is σ = 8960364. Its totient is φ = 1466880.

The previous prime is 3898091. The next prime is 3898123. The reversal of 3898100 is 18983.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 40804 + 3857296 = 202^2 + 1964^2 .

It is a super-2 number, since 2×38981002 = 30390367220000, which contains 22 as substring.

It is a plaindrome in base 11.

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, 554 + ... + 2846.

It is an arithmetic number, because the mean of its divisors is an integer number (248899).

Almost surely, 23898100 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 3898100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480182).

3898100 is an abundant number, since it is smaller than the sum of its proper divisors (5062264).

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

3898100 is a wasteful number, since it uses less digits than its factorization.

3898100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 3898100 is about 1974.3606560099. The cubic root of 3898100 is about 157.3805258380.

The spelling of 3898100 in words is "three million, eight hundred ninety-eight thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 2293 4586 9172 11465 22930 38981 45860 57325 77962 114650 155924 194905 229300 389810 779620 974525 1949050 3898100