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8200052 = 22721723107
BaseRepresentation
bin11111010001111101110100
3120102121100122
4133101331310
54044400202
6451431112
7126461600
oct37217564
916377318
108200052
1146a0903
1228b5498
131911503
141136500
15abe9a2
hex7d1f74

8200052 has 72 divisors (see below), whose sum is σ = 18615744. Its totient is φ = 3134208.

The previous prime is 8200037. The next prime is 8200061. The reversal of 8200052 is 2500028.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 8200052.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76583 + ... + 76689.

It is an arithmetic number, because the mean of its divisors is an integer number (258552).

Almost surely, 28200052 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 8200052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9307872).

8200052 is an abundant number, since it is smaller than the sum of its proper divisors (10415692).

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

8200052 is a wasteful number, since it uses less digits than its factorization.

8200052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 8200052 is about 2863.5732922347. The cubic root of 8200052 is about 201.6533937792.

The spelling of 8200052 in words is "eight million, two hundred thousand, fifty-two".

Divisors: 1 2 4 7 14 17 23 28 34 46 49 68 92 98 107 119 161 196 214 238 322 391 428 476 644 749 782 833 1127 1498 1564 1666 1819 2254 2461 2737 2996 3332 3638 4508 4922 5243 5474 7276 9844 10486 10948 12733 17227 19159 20972 25466 34454 38318 41837 50932 68908 76636 83674 89131 120589 167348 178262 241178 292859 356524 482356 585718 1171436 2050013 4100026 8200052