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542105344 = 2811311619
BaseRepresentation
bin100000010011111…
…101111100000000
31101210001210201201
4200103331330000
52102234332334
6125443110544
716301551024
oct4023757400
91353053651
10542105344
11259005850
12131672454
1388407cc1
1451dd6384
15328d3c14
hex204fdf00

542105344 has 72 divisors (see below), whose sum is σ = 1186174080. Its totient is φ = 245222400.

The previous prime is 542105341. The next prime is 542105363. The reversal of 542105344 is 443501245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542105341) 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 7 ways as a sum of consecutive naturals, for example, 875467 + ... + 876085.

It is an arithmetic number, because the mean of its divisors is an integer number (16474640).

Almost surely, 2542105344 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 542105344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593087040).

542105344 is an abundant number, since it is smaller than the sum of its proper divisors (644068736).

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

542105344 is a wasteful number, since it uses less digits than its factorization.

542105344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 542105344 is about 23283.1557998481. The cubic root of 542105344 is about 815.3822057162.

Adding to 542105344 its reverse (443501245), we get a palindrome (985606589).

The spelling of 542105344 in words is "five hundred forty-two million, one hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 311 352 619 622 704 1238 1244 1408 2476 2488 2816 3421 4952 4976 6809 6842 9904 9952 13618 13684 19808 19904 27236 27368 39616 39808 54472 54736 79232 79616 108944 109472 158464 192509 217888 218944 385018 435776 437888 770036 871552 875776 1540072 1743104 2117599 3080144 4235198 6160288 8470396 12320576 16940792 24641152 33881584 49282304 67763168 135526336 271052672 542105344