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2052144342 = 233292395483
BaseRepresentation
bin111101001010001…
…0011110011010110
312022000110201211000
41322110103303112
513200322104332
6535344324130
7101565640053
oct17224236326
95260421730
102052144342
11963422466
12493313646
132692037c1
1415679002a
15c0262b7c
hex7a513cd6

2052144342 has 64 divisors (see below), whose sum is σ = 4738176000. Its totient is φ = 657576864.

The previous prime is 2052144323. The next prime is 2052144379. The reversal of 2052144342 is 2434412502.

2052144342 is a `hidden beast` number, since 205 + 21 + 4 + 434 + 2 = 666.

It is a super-2 number, since 2×20521443422 = 8422592800805225928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371533 + ... + 377015.

It is an arithmetic number, because the mean of its divisors is an integer number (74034000).

Almost surely, 22052144342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2052144342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369088000).

2052144342 is an abundant number, since it is smaller than the sum of its proper divisors (2686031658).

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

2052144342 is a wasteful number, since it uses less digits than its factorization.

2052144342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5762 (or 5756 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2052144342 is about 45300.5997973537. The cubic root of 2052144342 is about 1270.7768702527.

Adding to 2052144342 its reverse (2434412502), we get a palindrome (4486556844).

The spelling of 2052144342 in words is "two billion, fifty-two million, one hundred forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 239 261 478 522 717 783 1434 1566 2151 4302 5483 6453 6931 10966 12906 13862 16449 20793 32898 41586 49347 62379 98694 124758 148041 159007 187137 296082 318014 374274 477021 954042 1310437 1431063 2620874 2862126 3931311 4293189 7862622 8586378 11793933 23587866 35381799 38002673 70763598 76005346 114008019 228016038 342024057 684048114 1026072171 2052144342