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542311224 = 2337213191867
BaseRepresentation
bin100000010100110…
…000001100111000
31101210110021010220
4200110300030320
52102312424344
6125451340040
716303366200
oct4024601470
91353407126
10542311224
112591364a4
12131751620
138847a920
145204b400
1532924c19
hex20530338

542311224 has 192 divisors, whose sum is σ = 1788796800. Its totient is φ = 135426816.

The previous prime is 542311213. The next prime is 542311229. The reversal of 542311224 is 422113245.

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

It is a junction number, because it is equal to n+sod(n) for n = 542311194 and 542311203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542311229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289539 + ... + 291405.

It is an arithmetic number, because the mean of its divisors is an integer number (9316650).

Almost surely, 2542311224 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 542311224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894398400).

542311224 is an abundant number, since it is smaller than the sum of its proper divisors (1246485576).

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

542311224 is a wasteful number, since it uses less digits than its factorization.

542311224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1911 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 542311224 is about 23287.5766021284. The cubic root of 542311224 is about 815.4854142184.

Adding to 542311224 its reverse (422113245), we get a palindrome (964424469).

It can be divided in two parts, 54231 and 1224, that added together give a palindrome (55455).

The spelling of 542311224 in words is "five hundred forty-two million, three hundred eleven thousand, two hundred twenty-four".