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52125060 = 223513173931
BaseRepresentation
bin1100011011010…
…1110110000100
310122002020010210
43012311312010
5101321000220
65101115420
71202025051
oct306656604
9118066123
1052125060
1127472369
1215558b70
13aa50740
146ccc028
1548996e0
hex31b5d84

52125060 has 96 divisors (see below), whose sum is σ = 166465152. Its totient is φ = 12072960.

The previous prime is 52125053. The next prime is 52125067. The reversal of 52125060 is 6052125.

52125060 = T348 + T349 + ... + T707.

52125060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52125053) and next prime (52125067).

It is not an unprimeable number, because it can be changed into a prime (52125067) 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 31 ways as a sum of consecutive naturals, for example, 11295 + ... + 15225.

It is an arithmetic number, because the mean of its divisors is an integer number (1734012).

Almost surely, 252125060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52125060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83232576).

52125060 is an abundant number, since it is smaller than the sum of its proper divisors (114340092).

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

52125060 is a wasteful number, since it uses less digits than its factorization.

52125060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973 (or 3971 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 52125060 is about 7219.7686943558. The cubic root of 52125060 is about 373.5500991024.

Adding to 52125060 its reverse (6052125), we get a palindrome (58177185).

The spelling of 52125060 in words is "fifty-two million, one hundred twenty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 2210 2652 3315 3931 4420 6630 7862 11793 13260 15724 19655 23586 39310 47172 51103 58965 66827 78620 102206 117930 133654 153309 200481 204412 235860 255515 267308 306618 334135 400962 511030 613236 668270 766545 801924 868751 1002405 1022060 1336540 1533090 1737502 2004810 2606253 3066180 3475004 4009620 4343755 5212506 8687510 10425012 13031265 17375020 26062530 52125060