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8252560 = 245432399
BaseRepresentation
bin11111011110110010010000
3120112021101101
4133132302100
54103040220
6452514144
7130100641
oct37366220
916467341
108252560
1147272a8
12291b954
13192c394
14114b6c8
15ad030a
hex7dec90

8252560 has 40 divisors (see below), whose sum is σ = 19641600. Its totient is φ = 3222912.

The previous prime is 8252557. The next prime is 8252567. The reversal of 8252560 is 652528.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (8252567) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2241 + ... + 4639.

It is an arithmetic number, because the mean of its divisors is an integer number (491040).

Almost surely, 28252560 is an apocalyptic number.

8252560 is a gapful number since it is divisible by the number (80) 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 8252560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9820800).

8252560 is an abundant number, since it is smaller than the sum of its proper divisors (11389040).

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

8252560 is a wasteful number, since it uses less digits than its factorization.

8252560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 8252560 is about 2872.7269275029. The cubic root of 8252560 is about 202.0828990201.

The spelling of 8252560 in words is "eight million, two hundred fifty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 2399 3440 4798 9596 11995 19192 23990 38384 47980 95960 103157 191920 206314 412628 515785 825256 1031570 1650512 2063140 4126280 8252560