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53022528 = 2632137397
BaseRepresentation
bin1100101001000…
…0111101000000
310200202211020100
43022100331000
5102033210103
65132242400
71212453426
oct312207500
9120684210
1053022528
1127a25679
1215910400
13aca60a0
147083116
1549c55a3
hex3290f40

53022528 has 168 divisors, whose sum is σ = 167622728. Its totient is φ = 15925248.

The previous prime is 53022491. The next prime is 53022539. The reversal of 53022528 is 82522035.

It can be written as a sum of positive squares in 4 ways, for example, as 2214144 + 50808384 = 1488^2 + 7128^2 .

It is a super-2 number, since 2×530225282 = 5622776951021568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 546576 + ... + 546672.

Almost surely, 253022528 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 53022528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83811364).

53022528 is an abundant number, since it is smaller than the sum of its proper divisors (114600200).

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

53022528 is a wasteful number, since it uses less digits than its factorization.

53022528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 53022528 is about 7281.6569542928. The cubic root of 53022528 is about 375.6817890187.

The spelling of 53022528 in words is "fifty-three million, twenty-two thousand, five hundred twenty-eight".