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800052 = 2231121929
BaseRepresentation
bin11000011010100110100
31111122110120
43003110310
5201100202
625051540
76541341
oct3032464
91448416
10800052
114a7100
12326bb0
13220206
1416b7c8
1510c0bc
hexc3534

800052 has 72 divisors (see below), whose sum is σ = 2234400. Its totient is φ = 221760.

The previous prime is 800029. The next prime is 800053. The reversal of 800052 is 250008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800053) by changing a digit.

800052 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27574 + ... + 27602.

2800052 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 800052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117200).

800052 is an abundant number, since it is smaller than the sum of its proper divisors (1434348).

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

800052 is a wasteful number, since it uses less digits than its factorization.

800052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 800052 is about 894.4562594113. The cubic root of 800052 is about 92.8337879838.

The spelling of 800052 in words is "eight hundred thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 19 22 29 33 38 44 57 58 66 76 87 114 116 121 132 174 209 228 242 319 348 363 418 484 551 627 638 726 836 957 1102 1254 1276 1452 1653 1914 2204 2299 2508 3306 3509 3828 4598 6061 6612 6897 7018 9196 10527 12122 13794 14036 18183 21054 24244 27588 36366 42108 66671 72732 133342 200013 266684 400026 800052