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8142252 = 22317167239
BaseRepresentation
bin11111000011110110101100
3120022200001220
4133003312230
54041023002
6450303340
7126131226
oct37036654
916280056
108142252
114661438
122887b50
1318c1101
14111d416
15aac7bc
hex7c3dac

8142252 has 48 divisors (see below), whose sum is σ = 20321280. Its totient is φ = 2528512.

The previous prime is 8142247. The next prime is 8142271. The reversal of 8142252 is 2522418.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33949 + ... + 34187.

It is an arithmetic number, because the mean of its divisors is an integer number (423360).

Almost surely, 28142252 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 8142252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160640).

8142252 is an abundant number, since it is smaller than the sum of its proper divisors (12179028).

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

8142252 is a wasteful number, since it uses less digits than its factorization.

8142252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 428 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 8142252 is about 2853.4631590403. The cubic root of 8142252 is about 201.1784756699.

The spelling of 8142252 in words is "eight million, one hundred forty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 167 204 239 334 478 501 668 717 956 1002 1434 2004 2839 2868 4063 5678 8126 8517 11356 12189 16252 17034 24378 34068 39913 48756 79826 119739 159652 239478 478956 678521 1357042 2035563 2714084 4071126 8142252