Search a number
-
+
52734240 = 2534513313
BaseRepresentation
bin1100100100101…
…0100100100000
310200020011210000
43021022210200
5101444443430
65122140000
71210143066
oct311124440
9120204700
1052734240
1127849019
12157b1600
13ac04ac0
14700a036
154969e60
hex324a920

52734240 has 240 divisors, whose sum is σ = 201064248. Its totient is φ = 12939264.

The previous prime is 52734217. The next prime is 52734247. The reversal of 52734240 is 4243725.

It can be written as a sum of positive squares in 4 ways, for example, as 14837904 + 37896336 = 3852^2 + 6156^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (52734247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168324 + ... + 168636.

Almost surely, 252734240 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 52734240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100532124).

52734240 is an abundant number, since it is smaller than the sum of its proper divisors (148330008).

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

52734240 is a wasteful number, since it uses less digits than its factorization.

52734240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 52734240 is about 7261.8344789729. The cubic root of 52734240 is about 374.9996799997. Note that the first 3 decimals are identical.

Adding to 52734240 its reverse (4243725), we get a palindrome (56977965).

The spelling of 52734240 in words is "fifty-two million, seven hundred thirty-four thousand, two hundred forty".