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8252920 = 2351359269
BaseRepresentation
bin11111011110110111111000
3120112021212201
4133132313320
54103043140
6452515544
7130101664
oct37366770
916467781
108252920
1147275a5
12291bbb4
13192c5b0
14114b8a4
15ad049a
hex7dedf8

8252920 has 64 divisors (see below), whose sum is σ = 20412000. Its totient is φ = 2984448.

The previous prime is 8252917. The next prime is 8252941. The reversal of 8252920 is 292528.

It is a super-2 number, since 2×82529202 = 136221377052800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 30546 + ... + 30814.

Almost surely, 28252920 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 8252920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10206000).

8252920 is an abundant number, since it is smaller than the sum of its proper divisors (12159080).

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

8252920 is a wasteful number, since it uses less digits than its factorization.

8252920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 8252920 is about 2872.7895850549. The cubic root of 8252920 is about 202.0858374532.

The spelling of 8252920 in words is "eight million, two hundred fifty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 59 65 104 118 130 236 260 269 295 472 520 538 590 767 1076 1180 1345 1534 2152 2360 2690 3068 3497 3835 5380 6136 6994 7670 10760 13988 15340 15871 17485 27976 30680 31742 34970 63484 69940 79355 126968 139880 158710 206323 317420 412646 634840 825292 1031615 1650584 2063230 4126460 8252920