Search a number
-
+
5259375 = 32551117
BaseRepresentation
bin10100000100000001101111
3100220012111200
4110010001233
52321300000
6304420543
762463312
oct24040157
910805450
105259375
112a724a0
121917753
131121b74
149ac979
156dd500
hex50406f

5259375 has 72 divisors (see below), whose sum is σ = 10968048. Its totient is φ = 2400000.

The previous prime is 5259361. The next prime is 5259379. The reversal of 5259375 is 5739525.

It is not a de Polignac number, because 5259375 - 26 = 5259311 is a prime.

It is a super-2 number, since 2×52593752 = 55322050781250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5259379) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 309367 + ... + 309383.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

Almost surely, 25259375 is an apocalyptic number.

5259375 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5259375 is an abundant number, since it is smaller than the sum of its proper divisors (5708673).

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

5259375 is a wasteful number, since it uses less digits than its factorization.

5259375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 36 counting only the distinct ones).

The product of its digits is 47250, while the sum is 36.

The square root of 5259375 is about 2293.3327277131. The cubic root of 5259375 is about 173.9047239000.

Subtracting from 5259375 its product of digits (47250), we obtain a palindrome (5212125).

The spelling of 5259375 in words is "five million, two hundred fifty-nine thousand, three hundred seventy-five".

Divisors: 1 3 5 9 11 15 17 25 33 45 51 55 75 85 99 125 153 165 187 225 255 275 375 425 495 561 625 765 825 935 1125 1275 1375 1683 1875 2125 2475 2805 3125 3825 4125 4675 5625 6375 6875 8415 9375 10625 12375 14025 19125 20625 23375 28125 31875 34375 42075 53125 61875 70125 95625 103125 116875 159375 210375 309375 350625 478125 584375 1051875 1753125 5259375