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52606125 = 33531113109
BaseRepresentation
bin1100100010101…
…1010010101101
310122222200001000
43020223102231
5101431344000
65115310513
71206100425
oct310532255
9118880030
1052606125
1127770840
121574b439
13ab8b6b0
146db5485
154942000
hex322b4ad

52606125 has 128 divisors (see below), whose sum is σ = 115315200. Its totient is φ = 23328000.

The previous prime is 52606123. The next prime is 52606159. The reversal of 52606125 is 52160625.

52606125 is a `hidden beast` number, since 52 + 606 + 1 + 2 + 5 = 666.

52606125 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 52606125 - 21 = 52606123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52606121) 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 127 ways as a sum of consecutive naturals, for example, 482571 + ... + 482679.

It is an arithmetic number, because the mean of its divisors is an integer number (900900).

Almost surely, 252606125 is an apocalyptic number.

52606125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52606125 is an abundant number, since it is smaller than the sum of its proper divisors (62709075).

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

52606125 is a wasteful number, since it uses less digits than its factorization.

52606125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 52606125 is about 7253.0079966866. The cubic root of 52606125 is about 374.6957532238.

The spelling of 52606125 in words is "fifty-two million, six hundred six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 13 15 25 27 33 39 45 55 65 75 99 109 117 125 135 143 165 195 225 275 297 325 327 351 375 429 495 545 585 675 715 825 975 981 1125 1199 1287 1375 1417 1485 1625 1635 1755 2145 2475 2725 2925 2943 3375 3575 3597 3861 4125 4251 4875 4905 5995 6435 7085 7425 8175 8775 10725 10791 12375 12753 13625 14625 14715 15587 17875 17985 19305 21255 24525 29975 32175 32373 35425 37125 38259 40875 43875 46761 53625 53955 63765 73575 77935 89925 96525 106275 122625 140283 149875 160875 161865 177125 191295 233805 269775 318825 367875 389675 420849 449625 482625 531375 701415 809325 956475 1169025 1348875 1594125 1948375 2104245 3507075 4046625 4782375 5845125 10521225 17535375 52606125