Search a number
-
+
540009522 = 23213172931151
BaseRepresentation
bin100000001011111…
…110010000110010
31101122010022210200
4200023332100302
52101220301042
6125330140030
716245001533
oct4013762062
91348108720
10540009522
11257904168
12130a21616
1387b53080
1451a0c68a
153261cc4c
hex202fe432

540009522 has 192 divisors, whose sum is σ = 1434101760. Its totient is φ = 145152000.

The previous prime is 540009521. The next prime is 540009541. The reversal of 540009522 is 225900045.

It is a super-2 number, since 2×5400095222 = 583220567701336968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (540009521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3576147 + ... + 3576297.

It is an arithmetic number, because the mean of its divisors is an integer number (7469280).

Almost surely, 2540009522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540009522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717050880).

540009522 is an abundant number, since it is smaller than the sum of its proper divisors (894092238).

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

540009522 is a wasteful number, since it uses less digits than its factorization.

540009522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 540009522 is about 23238.1049571603. The cubic root of 540009522 is about 814.3300713734.

Adding to 540009522 its reverse (225900045), we get a palindrome (765909567).

The spelling of 540009522 in words is "five hundred forty million, nine thousand, five hundred twenty-two".