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52007840 = 255536133
BaseRepresentation
bin1100011001100…
…1001110100000
310121212021100022
43012121032200
5101303222330
65054413012
71201026233
oct306311640
9117767308
1052007840
11273a2295
1215501168
13aa0c291
146c9b41a
154874ae5
hex31993a0

52007840 has 48 divisors (see below), whose sum is σ = 125207208. Its totient is φ = 20407296.

The previous prime is 52007831. The next prime is 52007849. The reversal of 52007840 is 4870025.

It is an interprime number because it is at equal distance from previous prime (52007831) and next prime (52007849).

It can be written as a sum of positive squares in 4 ways, for example, as 51897616 + 110224 = 7204^2 + 332^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52007849) 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, 5414 + ... + 11546.

Almost surely, 252007840 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 52007840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62603604).

52007840 is an abundant number, since it is smaller than the sum of its proper divisors (73199368).

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

52007840 is a wasteful number, since it uses less digits than its factorization.

52007840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6201 (or 6193 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 52007840 is about 7211.6461366321. The cubic root of 52007840 is about 373.2698730003.

Adding to 52007840 its reverse (4870025), we get a palindrome (56877865).

The spelling of 52007840 in words is "fifty-two million, seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 2120 4240 6133 8480 12266 24532 30665 49064 61330 98128 122660 196256 245320 325049 490640 650098 981280 1300196 1625245 2600392 3250490 5200784 6500980 10401568 13001960 26003920 52007840