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52705072 = 2471632887
BaseRepresentation
bin1100100100001…
…1011100110000
310200011200202201
43021003130300
5101443030242
65121352544
71206662050
oct311033460
9120150681
1052705072
1127829112
1215798754
13abc4744
146ddd560
1549614b7
hex3243730

52705072 has 40 divisors (see below), whose sum is σ = 117460736. Its totient is φ = 22441536.

The previous prime is 52705043. The next prime is 52705073. The reversal of 52705072 is 27050725.

It is a super-2 number, since 2×527050722 = 5555649229050368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 52705072.

It is not an unprimeable number, because it can be changed into a prime (52705073) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16813 + ... + 19699.

Almost surely, 252705072 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 52705072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58730368).

52705072 is an abundant number, since it is smaller than the sum of its proper divisors (64755664).

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

52705072 is a wasteful number, since it uses less digits than its factorization.

52705072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 28.

The square root of 52705072 is about 7259.8258932291. The cubic root of 52705072 is about 374.9305281676.

Adding to 52705072 its reverse (27050725), we get a palindrome (79755797).

The spelling of 52705072 in words is "fifty-two million, seven hundred five thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 163 326 652 1141 1304 2282 2608 2887 4564 5774 9128 11548 18256 20209 23096 40418 46192 80836 161672 323344 470581 941162 1882324 3294067 3764648 6588134 7529296 13176268 26352536 52705072