[go: up one dir, main page]

Search a number
-
+
52050075 = 3527119013
BaseRepresentation
bin1100011010001…
…1100010011011
310121221102021120
43012203202123
5101311100300
65055340323
71201263330
oct306434233
9117842246
1052050075
1127420aa0
12155216a3
13aa2557c
146cac987
1548823a0
hex31a389b

52050075 has 48 divisors (see below), whose sum is σ = 107302656. Its totient is φ = 21628800.

The previous prime is 52050049. The next prime is 52050077. The reversal of 52050075 is 57005025.

52050075 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52050075 - 212 = 52045979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52050077) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1269 + ... + 10281.

It is an arithmetic number, because the mean of its divisors is an integer number (2235472).

Almost surely, 252050075 is an apocalyptic number.

52050075 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

52050075 is an abundant number, since it is smaller than the sum of its proper divisors (55252581).

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

52050075 is a wasteful number, since it uses less digits than its factorization.

52050075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9044 (or 9039 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 24.

The square root of 52050075 is about 7214.5737919852. The cubic root of 52050075 is about 373.3708884592.

The spelling of 52050075 in words is "fifty-two million, fifty thousand, seventy-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 231 275 385 525 825 1155 1925 5775 9013 27039 45065 63091 99143 135195 189273 225325 297429 315455 495715 675975 694001 946365 1487145 1577275 2082003 2478575 3470005 4731825 7435725 10410015 17350025 52050075