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52193052 = 2233598191
BaseRepresentation
bin1100011100011…
…0011100011100
310122012200102000
43013012130130
5101330134202
65102402300
71202430222
oct307063434
9118180360
1052193052
112750945a
1215590390
13aa75682
146d08b12
1548ae91c
hex31c671c

52193052 has 48 divisors (see below), whose sum is σ = 137625600. Its totient is φ = 17100720.

The previous prime is 52193047. The next prime is 52193101. The reversal of 52193052 is 25039125.

52193052 is a `hidden beast` number, since 521 + 93 + 0 + 52 = 666.

52193052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×521930522 = 5448229354149408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2277 + ... + 10467.

It is an arithmetic number, because the mean of its divisors is an integer number (2867200).

Almost surely, 252193052 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 52193052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68812800).

52193052 is an abundant number, since it is smaller than the sum of its proper divisors (85432548).

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

52193052 is a wasteful number, since it uses less digits than its factorization.

52193052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8263 (or 8255 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 52193052 is about 7224.4758979458. The cubic root of 52193052 is about 373.7124482878.

The spelling of 52193052 in words is "fifty-two million, one hundred ninety-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 354 531 708 1062 1593 2124 3186 6372 8191 16382 24573 32764 49146 73719 98292 147438 221157 294876 442314 483269 884628 966538 1449807 1933076 2899614 4349421 5799228 8698842 13048263 17397684 26096526 52193052