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52445200 = 2452131113
BaseRepresentation
bin1100100000010…
…0000000010000
310122200111021211
43020010000100
5101411221300
65112025504
71204530313
oct310040020
9118614254
1052445200
1127670945
1215692294
13ab33382
146d7297a
15490e4ba
hex3204010

52445200 has 30 divisors (see below), whose sum is σ = 126000554. Its totient is φ = 20977920.

The previous prime is 52445189. The next prime is 52445201. The reversal of 52445200 is 254425.

It can be written as a sum of positive squares in 3 ways, for example, as 374544 + 52070656 = 612^2 + 7216^2 .

It is not an unprimeable number, because it can be changed into a prime (52445201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65157 + ... + 65956.

Almost surely, 252445200 is an apocalyptic number.

52445200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52445200 is an abundant number, since it is smaller than the sum of its proper divisors (73555354).

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

52445200 is a wasteful number, since it uses less digits than its factorization.

52445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131131 (or 131120 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 52445200 is about 7241.9058265073. The cubic root of 52445200 is about 374.3132913992.

Adding to 52445200 its reverse (254425), we get a palindrome (52699625).

The spelling of 52445200 in words is "fifty-two million, four hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 131113 262226 524452 655565 1048904 1311130 2097808 2622260 3277825 5244520 6555650 10489040 13111300 26222600 52445200