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4537125 = 325337109
BaseRepresentation
bin10001010011101100100101
322112111202200
4101103230211
52130142000
6241125113
753364525
oct21235445
98474680
104537125
11261989a
121629799
13c2b1b8
14861685
155e9500
hex453b25

4537125 has 48 divisors (see below), whose sum is σ = 8477040. Its totient is φ = 2332800.

The previous prime is 4537123. The next prime is 4537139. The reversal of 4537125 is 5217354.

It is a happy number.

4537125 is a `hidden beast` number, since 4 + 537 + 125 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 338724 + 4198401 = 582^2 + 2049^2 .

It is not a de Polignac number, because 4537125 - 21 = 4537123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4537123) 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 47 ways as a sum of consecutive naturals, for example, 41571 + ... + 41679.

It is an arithmetic number, because the mean of its divisors is an integer number (176605).

Almost surely, 24537125 is an apocalyptic number.

4537125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4537125 is a deficient number, since it is larger than the sum of its proper divisors (3939915).

4537125 is a wasteful number, since it uses less digits than its factorization.

4537125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 154 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 4537125 is about 2130.0528162466. The cubic root of 4537125 is about 165.5491345914.

The spelling of 4537125 in words is "four million, five hundred thirty-seven thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 75 109 111 125 185 225 327 333 375 545 555 925 981 1125 1635 1665 2725 2775 4033 4625 4905 8175 8325 12099 13625 13875 20165 24525 36297 40875 41625 60495 100825 122625 181485 302475 504125 907425 1512375 4537125