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52527552 = 26371121719
BaseRepresentation
bin1100100001100…
…0000111000000
310122211200020220
43020120013000
5101421340202
65113503040
71205322360
oct310300700
9118750226
1052527552
1127717800
1215711a80
13ab619bc
146d949a0
154928abc
hex32181c0

52527552 has 336 divisors, whose sum is σ = 194584320. Its totient is φ = 12165120.

The previous prime is 52527551. The next prime is 52527557. The reversal of 52527552 is 25572525.

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

It is a super-2 number, since 2×525275522 = 5518287438225408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52527551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2764599 + ... + 2764617.

It is an arithmetic number, because the mean of its divisors is an integer number (579120).

Almost surely, 252527552 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 52527552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97292160).

52527552 is an abundant number, since it is smaller than the sum of its proper divisors (142056768).

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

52527552 is a wasteful number, since it uses less digits than its factorization.

52527552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 59 counting only the distinct ones).

The product of its digits is 35000, while the sum is 33.

The square root of 52527552 is about 7247.5893923428. The cubic root of 52527552 is about 374.5091105761.

The spelling of 52527552 in words is "fifty-two million, five hundred twenty-seven thousand, five hundred fifty-two".