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52248160 = 2552511301
BaseRepresentation
bin1100011101001…
…1111001100000
310122022111000001
43013103321200
5101333420120
65103505344
71203046666
oct307237140
9118274001
1052248160
11275468a8
12155b8254
13aa94793
146d20c36
1548c0e0a
hex31d3e60

52248160 has 48 divisors (see below), whose sum is σ = 124023312. Its totient is φ = 20800000.

The previous prime is 52248127. The next prime is 52248173. The reversal of 52248160 is 6184225.

52248160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 39510 + ... + 40810.

It is an arithmetic number, because the mean of its divisors is an integer number (2583819).

Almost surely, 252248160 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 52248160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62011656).

52248160 is an abundant number, since it is smaller than the sum of its proper divisors (71775152).

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

52248160 is a wasteful number, since it uses less digits than its factorization.

52248160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 52248160 is about 7228.2888708186. The cubic root of 52248160 is about 373.8439300388.

The spelling of 52248160 in words is "fifty-two million, two hundred forty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 251 502 1004 1255 1301 2008 2510 2602 4016 5020 5204 6505 8032 10040 10408 13010 20080 20816 26020 40160 41632 52040 104080 208160 326551 653102 1306204 1632755 2612408 3265510 5224816 6531020 10449632 13062040 26124080 52248160