Search a number
-
+
4536900 = 223252712
BaseRepresentation
bin10001010011101001000100
322112111110100
4101103221010
52130140100
6241124100
753364054
oct21235104
98474410
104536900
112619705
121629630
13c2b074
14861564
155e9400
hex453a44

4536900 has 81 divisors (see below), whose sum is σ = 14423773. Its totient is φ = 1192800.

The previous prime is 4536893. The next prime is 4536913. The reversal of 4536900 is 96354.

It is a happy number.

The square root of 4536900 is 2130.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1633284 + 2903616 = 1278^2 + 1704^2 .

It is a super-2 number, since 2×45369002 = 41166923220000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 63865 + ... + 63935.

Almost surely, 24536900 is an apocalyptic number.

4536900 is the 2130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4536900

4536900 is an abundant number, since it is smaller than the sum of its proper divisors (9886873).

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

4536900 is a wasteful number, since it uses less digits than its factorization.

4536900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The cubic root of 4536900 is about 165.5463979707.

The spelling of 4536900 in words is "four million, five hundred thirty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 71 75 90 100 142 150 180 213 225 284 300 355 426 450 639 710 852 900 1065 1278 1420 1775 2130 2556 3195 3550 4260 5041 5325 6390 7100 10082 10650 12780 15123 15975 20164 21300 25205 30246 31950 45369 50410 60492 63900 75615 90738 100820 126025 151230 181476 226845 252050 302460 378075 453690 504100 756150 907380 1134225 1512300 2268450 4536900