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52506385 = 5292571409
BaseRepresentation
bin1100100001001…
…0111100010001
310122210121012221
43020102330101
5101420201020
65113221041
71205203561
oct310227421
9118717187
1052506385
1127702908
1215701781
13ab55189
146d8ada1
1549226aa
hex3212f11

52506385 has 16 divisors (see below), whose sum is σ = 65480400. Its totient is φ = 40370176.

The previous prime is 52506383. The next prime is 52506407. The reversal of 52506385 is 58360525.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 219024 + 52287361 = 468^2 + 7231^2 .

It is a cyclic number.

It is not a de Polignac number, because 52506385 - 21 = 52506383 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 52506385.

It is not an unprimeable number, because it can be changed into a prime (52506383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36561 + ... + 37969.

It is an arithmetic number, because the mean of its divisors is an integer number (4092525).

Almost surely, 252506385 is an apocalyptic number.

It is an amenable number.

52506385 is a deficient number, since it is larger than the sum of its proper divisors (12974015).

52506385 is a wasteful number, since it uses less digits than its factorization.

52506385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700.

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 52506385 is about 7246.1289665586. The cubic root of 52506385 is about 374.4587985710.

The spelling of 52506385 in words is "fifty-two million, five hundred six thousand, three hundred eighty-five".

Divisors: 1 5 29 145 257 1285 1409 7045 7453 37265 40861 204305 362113 1810565 10501277 52506385