Search a number
-
+
5036625 = 325311237
BaseRepresentation
bin10011001101101001010001
3100110212221200
4103031221101
52242133000
6255541413
760545016
oct23155121
910425850
105036625
112930100
12182a869
131074669
1495170d
15697500
hex4cda51

5036625 has 72 divisors (see below), whose sum is σ = 10249512. Its totient is φ = 2376000.

The previous prime is 5036623. The next prime is 5036627. The reversal of 5036625 is 5266305.

5036625 is a `hidden beast` number, since 5 + 0 + 36 + 625 = 666.

5036625 is digitally balanced in base 3, 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 (5036623) and next prime (5036627).

It can be written as a sum of positive squares in 4 ways, for example, as 1089 + 5035536 = 33^2 + 2244^2 .

It is not a de Polignac number, because 5036625 - 21 = 5036623 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5036621) 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 71 ways as a sum of consecutive naturals, for example, 136107 + ... + 136143.

Almost surely, 25036625 is an apocalyptic number.

5036625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5036625 is an abundant number, since it is smaller than the sum of its proper divisors (5212887).

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

5036625 is a wasteful number, since it uses less digits than its factorization.

5036625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 5036625 is about 2244.2426339413. The cubic root of 5036625 is about 171.4140984805.

The spelling of 5036625 in words is "five million, thirty-six thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 37 45 55 75 99 111 121 125 165 185 225 275 333 363 375 407 495 555 605 825 925 1089 1125 1221 1375 1665 1815 2035 2475 2775 3025 3663 4125 4477 4625 5445 6105 8325 9075 10175 12375 13431 13875 15125 18315 22385 27225 30525 40293 41625 45375 50875 67155 91575 111925 136125 152625 201465 335775 457875 559625 1007325 1678875 5036625