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8252916 = 2237195171
BaseRepresentation
bin11111011110110111110100
3120112021212120
4133132313310
54103043131
6452515540
7130101660
oct37366764
916467776
108252916
1147275a1
12291bbb0
13192c5a9
14114b8a0
15ad0496
hex7dedf4

8252916 has 48 divisors (see below), whose sum is σ = 23170560. Its totient is φ = 2233440.

The previous prime is 8252903. The next prime is 8252917. The reversal of 8252916 is 6192528.

It is a super-3 number, since 3×82529163 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8252917) 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 15 ways as a sum of consecutive naturals, for example, 990 + ... + 4181.

It is an arithmetic number, because the mean of its divisors is an integer number (482720).

Almost surely, 28252916 is an apocalyptic number.

It is an amenable number.

8252916 is an abundant number, since it is smaller than the sum of its proper divisors (14917644).

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

8252916 is a wasteful number, since it uses less digits than its factorization.

8252916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5204 (or 5202 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 8252916 is about 2872.7888888674. The cubic root of 8252916 is about 202.0858048044.

It can be divided in two parts, 825 and 2916, that added together give a triangular number (3741 = T86).

The spelling of 8252916 in words is "eight million, two hundred fifty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 5171 10342 15513 20684 31026 36197 62052 72394 98249 108591 144788 196498 217182 294747 392996 434364 589494 687743 1178988 1375486 2063229 2750972 4126458 8252916