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64042125 = 353731787
BaseRepresentation
bin1111010001001…
…1010010001101
311110111200021120
43310103102031
5112343322000
610204351153
71405230510
oct364232215
9143450246
1064042125
1133171884
12195454b9
1310363a64
148710d77
1559506a0
hex3d1348d

64042125 has 64 divisors (see below), whose sum is σ = 125878272. Its totient is φ = 28296000.

The previous prime is 64042091. The next prime is 64042127. The reversal of 64042125 is 52124046.

64042125 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 64042125 - 210 = 64041101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 64042095 and 64042104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64042127) 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 63 ways as a sum of consecutive naturals, for example, 80982 + ... + 81768.

It is an arithmetic number, because the mean of its divisors is an integer number (1966848).

Almost surely, 264042125 is an apocalyptic number.

It is an amenable number.

64042125 is a deficient number, since it is larger than the sum of its proper divisors (61836147).

64042125 is a wasteful number, since it uses less digits than its factorization.

64042125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 64042125 is about 8002.6323794112. The cubic root of 64042125 is about 400.0877411690.

The spelling of 64042125 in words is "sixty-four million, forty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 31 35 75 93 105 125 155 175 217 375 465 525 651 775 787 875 1085 2325 2361 2625 3255 3875 3935 5425 5509 11625 11805 16275 16527 19675 24397 27125 27545 59025 73191 81375 82635 98375 121985 137725 170779 295125 365955 413175 512337 609925 688625 853895 1829775 2065875 2561685 3049625 4269475 9148875 12808425 21347375 64042125