Search a number
-
+
47897325 = 3452731109
BaseRepresentation
bin1011011010110…
…1101011101101
310100010102210000
42312231223231
544230203300
64430334513
71121056230
oct266555355
9110112700
1047897325
1125044a73
121405a439
139c00318
14650b417
154311c00
hex2dadaed

47897325 has 120 divisors (see below), whose sum is σ = 105628160. Its totient is φ = 20995200.

The previous prime is 47897323. The next prime is 47897329. The reversal of 47897325 is 52379874.

It is not a de Polignac number, because 47897325 - 21 = 47897323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47897323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 439371 + ... + 439479.

Almost surely, 247897325 is an apocalyptic number.

47897325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47897325 is an abundant number, since it is smaller than the sum of its proper divisors (57730835).

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

47897325 is a wasteful number, since it uses less digits than its factorization.

47897325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 47897325 is about 6920.7893335948. The cubic root of 47897325 is about 363.1648046143.

The spelling of 47897325 in words is "forty-seven million, eight hundred ninety-seven thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 31 35 45 63 75 81 93 105 109 135 155 175 189 217 225 279 315 327 405 465 525 545 567 651 675 763 775 837 945 981 1085 1395 1575 1635 1953 2025 2289 2325 2511 2725 2835 2943 3255 3379 3815 4185 4725 4905 5425 5859 6867 6975 8175 8829 9765 10137 11445 12555 14175 14715 16275 16895 17577 19075 20601 20925 23653 24525 29295 30411 34335 44145 48825 50685 57225 61803 62775 70959 73575 84475 87885 91233 103005 118265 146475 152055 171675 212877 220725 253425 273699 309015 354795 439425 456165 515025 591325 638631 760275 1064385 1368495 1545075 1773975 1915893 2280825 3193155 5321925 6842475 9579465 15965775 47897325