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8252712 = 2333132939
BaseRepresentation
bin11111011110110100101000
3120112021121000
4133132310220
54103041322
6452515000
7130101246
oct37366450
916467530
108252712
114727426
12291ba60
13192c480
14114b796
15ad03ac
hex7ded28

8252712 has 64 divisors (see below), whose sum is σ = 24696000. Its totient is φ = 2538432.

The previous prime is 8252711. The next prime is 8252737. The reversal of 8252712 is 2172528.

8252712 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8252711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1339 + ... + 4277.

It is an arithmetic number, because the mean of its divisors is an integer number (385875).

Almost surely, 28252712 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 8252712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12348000).

8252712 is an abundant number, since it is smaller than the sum of its proper divisors (16443288).

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

8252712 is a wasteful number, since it uses less digits than its factorization.

8252712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967 (or 2957 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 8252712 is about 2872.7533830804. The cubic root of 8252712 is about 202.0841397023.

The spelling of 8252712 in words is "eight million, two hundred fifty-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 2939 5878 8817 11756 17634 23512 26451 35268 38207 52902 70536 76414 79353 105804 114621 152828 158706 211608 229242 305656 317412 343863 458484 634824 687726 916968 1031589 1375452 2063178 2750904 4126356 8252712