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52205814 = 23223472683
BaseRepresentation
bin1100011100100…
…1100011110110
310122020022220200
43013021203312
5101331041224
65102541330
71202512353
oct307114366
9118208820
1052205814
1127518001
1215597846
13aa7b41b
146d0d62a
1548b35c9
hex31c98f6

52205814 has 48 divisors (see below), whose sum is σ = 120586752. Its totient is φ = 16285104.

The previous prime is 52205801. The next prime is 52205843. The reversal of 52205814 is 41850225.

It is a happy number.

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, 18117 + ... + 20799.

It is an arithmetic number, because the mean of its divisors is an integer number (2512224).

Almost surely, 252205814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52205814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60293376).

52205814 is an abundant number, since it is smaller than the sum of its proper divisors (68380938).

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

52205814 is a wasteful number, since it uses less digits than its factorization.

52205814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 52205814 is about 7225.3590914224. The cubic root of 52205814 is about 373.7429052765.

The spelling of 52205814 in words is "fifty-two million, two hundred five thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 23 46 47 69 94 138 141 207 282 414 423 846 1081 2162 2683 3243 5366 6486 8049 9729 16098 19458 24147 48294 61709 123418 126101 185127 252202 370254 378303 555381 756606 1110762 1134909 2269818 2900323 5800646 8700969 17401938 26102907 52205814