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52264064 = 272231831
BaseRepresentation
bin1100011101011…
…1110010000000
310122100021211002
43013113302000
5101334422224
65104111132
71203144236
oct307276200
9118307732
1052264064
1127557846
12156054a8
13aa9baa8
146d26956
1548c59ae
hex31d7c80

52264064 has 32 divisors (see below), whose sum is σ = 104643840. Its totient is φ = 26000640.

The previous prime is 52264063. The next prime is 52264097. The reversal of 52264064 is 46046225.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (52264063) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27629 + ... + 29459.

It is an arithmetic number, because the mean of its divisors is an integer number (3270120).

Almost surely, 252264064 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 52264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52321920).

52264064 is an abundant number, since it is smaller than the sum of its proper divisors (52379776).

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

52264064 is a wasteful number, since it uses less digits than its factorization.

52264064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 52264064 is about 7229.3889091679. The cubic root of 52264064 is about 373.8818580774.

The spelling of 52264064 in words is "fifty-two million, two hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 223 446 892 1784 1831 3568 3662 7136 7324 14272 14648 28544 29296 58592 117184 234368 408313 816626 1633252 3266504 6533008 13066016 26132032 52264064