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52014200 = 2352753701
BaseRepresentation
bin1100011001101…
…0110001111000
310121212121001212
43012122301320
5101303423300
65054502252
71201053620
oct306326170
9117777055
1052014200
11273a7047
1215504988
13aa12144
146c9d880
154876935
hex319ac78

52014200 has 96 divisors (see below), whose sum is σ = 141017760. Its totient is φ = 17472000.

The previous prime is 52014173. The next prime is 52014251. The reversal of 52014200 is 241025.

52014200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73850 + ... + 74550.

It is an arithmetic number, because the mean of its divisors is an integer number (1468935).

Almost surely, 252014200 is an apocalyptic number.

52014200 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 52014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70508880).

52014200 is an abundant number, since it is smaller than the sum of its proper divisors (89003560).

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

52014200 is a wasteful number, since it uses less digits than its factorization.

52014200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 52014200 is about 7212.0870765681. The cubic root of 52014200 is about 373.2850880116.

Adding to 52014200 its reverse (241025), we get a palindrome (52255225).

The spelling of 52014200 in words is "fifty-two million, fourteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 53 56 70 100 106 140 175 200 212 265 280 350 371 424 530 700 701 742 1060 1325 1400 1402 1484 1855 2120 2650 2804 2968 3505 3710 4907 5300 5608 7010 7420 9275 9814 10600 14020 14840 17525 18550 19628 24535 28040 35050 37100 37153 39256 49070 70100 74200 74306 98140 122675 140200 148612 185765 196280 245350 260071 297224 371530 490700 520142 743060 928825 981400 1040284 1300355 1486120 1857650 2080568 2600710 3715300 5201420 6501775 7430600 10402840 13003550 26007100 52014200