Search a number
-
+
52241280 = 2735713223
BaseRepresentation
bin1100011101001…
…0001110000000
310122022010120020
43013102032000
5101333210110
65103413440
71203020640
oct307221600
9118263506
1052241280
1127541713
12155b4280
13aa91600
146d1c520
1548bdd70
hex31d2380

52241280 has 384 divisors, whose sum is σ = 215032320. Its totient is φ = 10543104.

The previous prime is 52241243. The next prime is 52241297. The reversal of 52241280 is 8214225.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 52241280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2271349 + ... + 2271371.

It is an arithmetic number, because the mean of its divisors is an integer number (559980).

Almost surely, 252241280 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 52241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107516160).

52241280 is an abundant number, since it is smaller than the sum of its proper divisors (162791040).

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

52241280 is a wasteful number, since it uses less digits than its factorization.

52241280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 52241280 is about 7227.8129472199. The cubic root of 52241280 is about 373.8275201522.

The spelling of 52241280 in words is "fifty-two million, two hundred forty-one thousand, two hundred eighty".