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8252496 = 243372729
BaseRepresentation
bin11111011110110001010000
3120112021022000
4133132301100
54103034441
6452514000
7130100520
oct37366120
916467260
108252496
11472724a
12291b900
13192c345
14114b680
15ad02b6
hex7dec50

8252496 has 80 divisors (see below), whose sum is σ = 27081600. Its totient is φ = 2356992.

The previous prime is 8252459. The next prime is 8252509. The reversal of 8252496 is 6942528.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 87 + 2 + 59 + 27 + 411 + 9 + 65 .

It is a self number, because there is not a number n which added to its sum of digits gives 8252496.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1660 + ... + 4388.

It is an arithmetic number, because the mean of its divisors is an integer number (338520).

Almost surely, 28252496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8252496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13540800).

8252496 is an abundant number, since it is smaller than the sum of its proper divisors (18829104).

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

8252496 is a wasteful number, since it uses less digits than its factorization.

8252496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2741 counting only the distinct ones).

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

The square root of 8252496 is about 2872.7157882394. The cubic root of 8252496 is about 202.0823766230.

It can be divided in two parts, 825 and 2496, that added together give a triangular number (3321 = T81).

The spelling of 8252496 in words is "eight million, two hundred fifty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 2729 3024 5458 8187 10916 16374 19103 21832 24561 32748 38206 43664 49122 57309 65496 73683 76412 98244 114618 130992 147366 152824 171927 196488 229236 294732 305648 343854 392976 458472 515781 589464 687708 916944 1031562 1178928 1375416 2063124 2750832 4126248 8252496