Search a number
-
+
4944100 = 2252721009
BaseRepresentation
bin10010110111000011100100
3100022012000211
4102313003210
52231202400
6253545204
760011200
oct22670344
910265024
104944100
112877637
1217a5204
131041505
14929b00
15679dba
hex4b70e4

4944100 has 54 divisors (see below), whose sum is σ = 12492690. Its totient is φ = 1693440.

The previous prime is 4944083. The next prime is 4944101. The reversal of 4944100 is 14494.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 112896 + 4831204 = 336^2 + 2198^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4944101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4396 + ... + 5404.

Almost surely, 24944100 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 4944100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6246345).

4944100 is an abundant number, since it is smaller than the sum of its proper divisors (7548590).

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

4944100 is a wasteful number, since it uses less digits than its factorization.

4944100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 4944100 is about 2223.5332243976. The cubic root of 4944100 is about 170.3579539482.

Adding to 4944100 its reverse (14494), we get a palindrome (4958594).

It can be divided in two parts, 49 and 44100, that multiplied together give a square (2160900 = 14702).

The spelling of 4944100 in words is "four million, nine hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1009 1225 2018 2450 4036 4900 5045 7063 10090 14126 20180 25225 28252 35315 49441 50450 70630 98882 100900 141260 176575 197764 247205 353150 494410 706300 988820 1236025 2472050 4944100