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52141320 = 23345711219

52141320 has 480 divisors, whose sum is σ = 231739200. Its totient is φ = 10264320.

The previous prime is 52141319. The next prime is 52141321. The reversal of 52141320 is 2314125.

It is an interprime number because it is at equal distance from previous prime (52141319) and next prime (52141321).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 52141293 and 52141302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52141321) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2744271 + ... + 2744289.

It is an arithmetic number, because the mean of its divisors is an integer number (482790).

Almost surely, 252141320 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 52141320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115869600).

52141320 is an abundant number, since it is smaller than the sum of its proper divisors (179597880).

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

52141320 is a wasteful number, since it uses less digits than its factorization.

52141320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 52141320 is about 7220.8946814089. The cubic root of 52141320 is about 373.5889370634.

The spelling of 52141320 in words is "fifty-two million, one hundred forty-one thousand, three hundred twenty".