Search a number
-
+
9486225 = 3252719317
BaseRepresentation
bin100100001011…
…111110010001
3122211221122200
4210023332101
54412024400
6535153413
7143426430
oct44137621
918757580
109486225
11539a161
123215869
131c71a68
14138d117
15c75b00
hex90bf91

9486225 has 72 divisors (see below), whose sum is σ = 20504640. Its totient is φ = 4095360.

The previous prime is 9486209. The next prime is 9486229. The reversal of 9486225 is 5226849.

It is a happy number.

9486225 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9486225 - 24 = 9486209 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

9486225 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 9486225.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9486229) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29767 + ... + 30083.

Almost surely, 29486225 is an apocalyptic number.

9486225 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

9486225 is an abundant number, since it is smaller than the sum of its proper divisors (11018415).

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

9486225 is a wasteful number, since it uses less digits than its factorization.

9486225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 351 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 9486225 is about 3079.9715907781. The cubic root of 9486225 is about 211.6887639595.

The spelling of 9486225 in words is "nine million, four hundred eighty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 57 63 75 95 105 133 171 175 225 285 315 317 399 475 525 665 855 951 1197 1425 1575 1585 1995 2219 2853 3325 4275 4755 5985 6023 6657 7925 9975 11095 14265 18069 19971 23775 29925 30115 33285 42161 54207 55475 71325 90345 99855 126483 150575 166425 210805 271035 379449 451725 499275 632415 1054025 1355175 1897245 3162075 9486225