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252825105 = 351317531439
BaseRepresentation
bin11110001000111…
…00111000010001
3122121201211211210
433010130320101
51004210400410
641030530333
76156656301
oct1704347021
9577654753
10252825105
1111a793275
12708069a9
13404c1570
1425813601
15172e1220
hexf11ce11

252825105 has 64 divisors (see below), whose sum is σ = 470292480. Its totient is φ = 114855936.

The previous prime is 252825101. The next prime is 252825163. The reversal of 252825105 is 501528252.

It is not a de Polignac number, because 252825105 - 22 = 252825101 is a prime.

It is a super-2 number, since 2×2528251052 = 127841067436522050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252825101) 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 63 ways as a sum of consecutive naturals, for example, 174976 + ... + 176414.

It is an arithmetic number, because the mean of its divisors is an integer number (7348320).

Almost surely, 2252825105 is an apocalyptic number.

It is an amenable number.

252825105 is a deficient number, since it is larger than the sum of its proper divisors (217467375).

252825105 is a wasteful number, since it uses less digits than its factorization.

252825105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530.

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 252825105 is about 15900.4749929051. The cubic root of 252825105 is about 632.3245817443.

The spelling of 252825105 in words is "two hundred fifty-two million, eight hundred twenty-five thousand, one hundred five".

Divisors: 1 3 5 13 15 17 39 51 53 65 85 159 195 221 255 265 663 689 795 901 1105 1439 2067 2703 3315 3445 4317 4505 7195 10335 11713 13515 18707 21585 24463 35139 56121 58565 73389 76267 93535 122315 175695 228801 280605 318019 366945 381335 954057 991471 1144005 1296539 1590095 2974413 3889617 4770285 4957355 6482695 14872065 16855007 19448085 50565021 84275035 252825105