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52441040 = 2451135801
BaseRepresentation
bin1100100000001…
…0111111010000
310122200021120202
43020002333100
5101411103130
65111554332
71204512221
oct310027720
9118607522
1052441040
1127668803
121568b9a8
13ab31502
146d71248
15490d145
hex3202fd0

52441040 has 40 divisors (see below), whose sum is σ = 123025608. Its totient is φ = 20787200.

The previous prime is 52441031. The next prime is 52441043. The reversal of 52441040 is 4014425.

It can be written as a sum of positive squares in 4 ways, for example, as 5271616 + 47169424 = 2296^2 + 6868^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52441043) 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, 6140 + ... + 11940.

Almost surely, 252441040 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 52441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61512804).

52441040 is an abundant number, since it is smaller than the sum of its proper divisors (70584568).

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

52441040 is a wasteful number, since it uses less digits than its factorization.

52441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5927 (or 5921 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 52441040 is about 7241.6186035996. The cubic root of 52441040 is about 374.3033941829.

Adding to 52441040 its reverse (4014425), we get a palindrome (56455465).

It can be divided in two parts, 524410 and 40, that multiplied together give a square (20976400 = 45802).

The spelling of 52441040 in words is "fifty-two million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 5801 9040 11602 23204 29005 46408 58010 92816 116020 232040 464080 655513 1311026 2622052 3277565 5244104 6555130 10488208 13110260 26220520 52441040