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52873600 = 2752133141
BaseRepresentation
bin1100100110110…
…0100110000000
310200111020221111
43021230212000
5102013423400
65125133104
71211263303
oct311544600
9120436844
1052873600
112793379a
121585a194
13ac53370
147044b3a
1549963ba
hex326c980

52873600 has 192 divisors, whose sum is σ = 148740480. Its totient is φ = 18432000.

The previous prime is 52873591. The next prime is 52873603. The reversal of 52873600 is 637825.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52873603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1289580 + ... + 1289620.

It is an arithmetic number, because the mean of its divisors is an integer number (774690).

Almost surely, 252873600 is an apocalyptic number.

52873600 is a gapful number since it is divisible by the number (50) 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 52873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74370240).

52873600 is an abundant number, since it is smaller than the sum of its proper divisors (95866880).

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

52873600 is a wasteful number, since it uses less digits than its factorization.

52873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 52873600 is about 7271.4235195043. The cubic root of 52873600 is about 375.3297248140.

The spelling of 52873600 in words is "fifty-two million, eight hundred seventy-three thousand, six hundred".