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55609125 = 35311131761
BaseRepresentation
bin1101010000100…
…0011100100101
310212122020101020
43110020130211
5103213443000
65303521353
71243445505
oct324103445
9125566336
1055609125
1129431a60
1216759259
13b6a0510
147557a05
154d36ba0
hex3508725

55609125 has 128 divisors (see below), whose sum is σ = 116992512. Its totient is φ = 23040000.

The previous prime is 55609123. The next prime is 55609139. The reversal of 55609125 is 52190655.

It is not a de Polignac number, because 55609125 - 21 = 55609123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55609123) 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 127 ways as a sum of consecutive naturals, for example, 911595 + ... + 911655.

It is an arithmetic number, because the mean of its divisors is an integer number (914004).

Almost surely, 255609125 is an apocalyptic number.

55609125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

55609125 is an abundant number, since it is smaller than the sum of its proper divisors (61383387).

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

55609125 is a wasteful number, since it uses less digits than its factorization.

55609125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The square root of 55609125 is about 7457.1526067260. The cubic root of 55609125 is about 381.6940181980.

The spelling of 55609125 in words is "fifty-five million, six hundred nine thousand, one hundred twenty-five".

Divisors: 1 3 5 11 13 15 17 25 33 39 51 55 61 65 75 85 125 143 165 183 187 195 221 255 275 305 325 375 425 429 561 663 671 715 793 825 915 935 975 1037 1105 1275 1375 1525 1625 2013 2125 2145 2379 2431 2805 3111 3315 3355 3575 3965 4125 4575 4675 4875 5185 5525 6375 7293 7625 8723 10065 10725 11407 11895 12155 13481 14025 15555 16575 16775 17875 19825 22875 23375 25925 26169 27625 34221 36465 40443 43615 50325 53625 57035 59475 60775 67405 70125 77775 82875 83875 99125 129625 130845 148291 171105 182325 202215 218075 251625 285175 297375 303875 337025 388875 444873 654225 741455 855525 911625 1011075 1090375 1425875 1685125 2224365 3271125 3707275 4277625 5055375 11121825 18536375 55609125