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5162900 = 2252173037
BaseRepresentation
bin10011101100011110010100
3100201022011112
4103230132110
52310203100
6302354152
761612121
oct23543624
910638145
105162900
112a06a66
12188b958
1310b9c92
14985748
156beb35
hex4ec794

5162900 has 36 divisors (see below), whose sum is σ = 11866428. Its totient is φ = 1943040.

The previous prime is 5162893. The next prime is 5162909. The reversal of 5162900 is 92615.

It can be written as a sum of positive squares in 6 ways, for example, as 198916 + 4963984 = 446^2 + 2228^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5162909) 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, 182 + ... + 3218.

It is an arithmetic number, because the mean of its divisors is an integer number (329623).

Almost surely, 25162900 is an apocalyptic number.

5162900 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 5162900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5933214).

5162900 is an abundant number, since it is smaller than the sum of its proper divisors (6703528).

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

5162900 is a wasteful number, since it uses less digits than its factorization.

5162900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 5162900 is about 2272.2015755650. The cubic root of 5162900 is about 172.8348184439.

The spelling of 5162900 in words is "five million, one hundred sixty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 3037 6074 12148 15185 30370 51629 60740 75925 103258 151850 206516 258145 303700 516290 1032580 1290725 2581450 5162900