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52091424 = 253671129
BaseRepresentation
bin1100011010110…
…1101000100000
310122000112000000
43012231220200
5101313411144
65100300000
71201525020
oct306555040
9118015000
1052091424
112744a070
1215541600
13aa3b338
146cbda80
15488e769
hex31ada20

52091424 has 336 divisors, whose sum is σ = 198313920. Its totient is φ = 13063680.

The previous prime is 52091419. The next prime is 52091437. The reversal of 52091424 is 42419025.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1796242 + ... + 1796270.

It is an arithmetic number, because the mean of its divisors is an integer number (590220).

Almost surely, 252091424 is an apocalyptic number.

52091424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52091424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99156960).

52091424 is an abundant number, since it is smaller than the sum of its proper divisors (146222496).

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

52091424 is a wasteful number, since it uses less digits than its factorization.

52091424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 52091424 is about 7217.4388809328. The cubic root of 52091424 is about 373.4697319063.

The spelling of 52091424 in words is "fifty-two million, ninety-one thousand, four hundred twenty-four".