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52458840 = 233657257
BaseRepresentation
bin1100100000011…
…1010101011000
310122201012000000
43020013111120
5101412140330
65112213000
71204615140
oct310072530
9118635000
1052458840
1127680115
121569a160
13ab39645
146d77920
154913560
hex3207558

52458840 has 224 divisors, whose sum is σ = 203035680. Its totient is φ = 11943936.

The previous prime is 52458811. The next prime is 52458853. The reversal of 52458840 is 4885425.

52458840 is a `hidden beast` number, since 524 + 58 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52458795 and 52458804.

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, 203992 + ... + 204248.

Almost surely, 252458840 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 52458840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101517840).

52458840 is an abundant number, since it is smaller than the sum of its proper divisors (150576840).

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

52458840 is a wasteful number, since it uses less digits than its factorization.

52458840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 52458840 is about 7242.8475063334. The cubic root of 52458840 is about 374.3457391779.

The spelling of 52458840 in words is "fifty-two million, four hundred fifty-eight thousand, eight hundred forty".