Search a number
-
+
5042200 = 2352171483
BaseRepresentation
bin10011001111000000011000
3100111011121011
4103033000120
52242322300
6300023304
760600202
oct23170030
910434534
105042200
112934309
121831b34
131077067
14953772
15698eba
hex4cf018

5042200 has 48 divisors (see below), whose sum is σ = 12421080. Its totient is φ = 1896960.

The previous prime is 5042189. The next prime is 5042203. The reversal of 5042200 is 22405.

5042200 = T117 + T118 + ... + T316.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5042203) 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, 2659 + ... + 4141.

Almost surely, 25042200 is an apocalyptic number.

5042200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6210540).

5042200 is an abundant number, since it is smaller than the sum of its proper divisors (7378880).

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

5042200 is a wasteful number, since it uses less digits than its factorization.

5042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 5042200 is about 2245.4843575496. The cubic root of 5042200 is about 171.4773207919.

Adding to 5042200 its reverse (22405), we get a palindrome (5064605).

It can be divided in two parts, 504 and 2200, that added together give a square (2704 = 522).

The spelling of 5042200 in words is "five million, forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1483 1700 2966 3400 5932 7415 11864 14830 25211 29660 37075 50422 59320 74150 100844 126055 148300 201688 252110 296600 504220 630275 1008440 1260550 2521100 5042200