Search a number
-
+
537255420 = 22351317311307
BaseRepresentation
bin100000000001011…
…101110111111100
31101102221101212220
4200001131313330
52100014133140
6125151125340
716212411222
oct4001356774
91342841786
10537255420
112562a2a49
1212bb13850
13873ca620
14514d2b12
1532276bd0
hex2005ddfc

537255420 has 192 divisors, whose sum is σ = 1772015616. Its totient is φ = 120360960.

The previous prime is 537255377. The next prime is 537255427. The reversal of 537255420 is 24552735.

537255420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537255427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 410407 + ... + 411713.

It is an arithmetic number, because the mean of its divisors is an integer number (9229248).

Almost surely, 2537255420 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 537255420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886007808).

537255420 is an abundant number, since it is smaller than the sum of its proper divisors (1234760196).

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

537255420 is a wasteful number, since it uses less digits than its factorization.

537255420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 33.

The square root of 537255420 is about 23178.7708906232. The cubic root of 537255420 is about 812.9433231944.

The spelling of 537255420 in words is "five hundred thirty-seven million, two hundred fifty-five thousand, four hundred twenty".