Search a number
-
+
8325952 = 261941167
BaseRepresentation
bin11111110000101101000000
3120200000001121
4133300231000
54112412302
6454242024
7130524625
oct37605500
916600047
108325952
114777458
122956314
1319568cb
14116a34c
15ae6e37
hex7f0b40

8325952 has 56 divisors (see below), whose sum is σ = 17922240. Its totient is φ = 3824640.

The previous prime is 8325943. The next prime is 8325997. The reversal of 8325952 is 2595238.

It is a d-powerful number, because it can be written as 82 + 314 + 220 + 5 + 94 + 58 + 221 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 49773 + ... + 49939.

It is an arithmetic number, because the mean of its divisors is an integer number (320040).

Almost surely, 28325952 is an apocalyptic number.

8325952 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8325952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8961120).

8325952 is an abundant number, since it is smaller than the sum of its proper divisors (9596288).

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

8325952 is a wasteful number, since it uses less digits than its factorization.

8325952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its digits is 21600, while the sum is 34.

The square root of 8325952 is about 2885.4725782790. The cubic root of 8325952 is about 202.6801891562.

The spelling of 8325952 in words is "eight million, three hundred twenty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 152 164 167 304 328 334 608 656 668 779 1216 1312 1336 1558 2624 2672 3116 3173 5344 6232 6346 6847 10688 12464 12692 13694 24928 25384 27388 49856 50768 54776 101536 109552 130093 203072 219104 260186 438208 520372 1040744 2081488 4162976 8325952