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52104525 = 35211137461
BaseRepresentation
bin1100011011000…
…0110101001101
310122001011222020
43012300311031
5101314321100
65100440353
71201611144
oct306606515
9118034866
1052104525
11274589a0
12155490b9
13aa442a5
146cc475b
1548935a0
hex31b0d4d

52104525 has 48 divisors (see below), whose sum is σ = 94868928. Its totient is φ = 25024000.

The previous prime is 52104497. The next prime is 52104571. The reversal of 52104525 is 52540125.

It is a happy number.

52104525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52104525 - 210 = 52103501 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 52104495 and 52104504.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 112795 + ... + 113255.

It is an arithmetic number, because the mean of its divisors is an integer number (1976436).

Almost surely, 252104525 is an apocalyptic number.

52104525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52104525 is a deficient number, since it is larger than the sum of its proper divisors (42764403).

52104525 is a wasteful number, since it uses less digits than its factorization.

52104525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 52104525 is about 7218.3464172898. The cubic root of 52104525 is about 373.5010385108.

Subtracting 52104525 from its reverse (52540125), we obtain a square (435600 = 6602).

The spelling of 52104525 in words is "fifty-two million, one hundred four thousand, five hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 137 165 275 411 461 685 825 1383 1507 2055 2305 3425 4521 5071 6915 7535 10275 11525 15213 22605 25355 34575 37675 63157 76065 113025 126775 189471 315785 380325 694727 947355 1578925 2084181 3473635 4736775 10420905 17368175 52104525