Search a number
-
+
2042534124 = 223319995387
BaseRepresentation
bin111100110111110…
…1001100011101100
312021100101111002000
41321233221203230
513140342042444
6534402332300
7101421152661
oct17157514354
95240344060
102042534124
11958a59134
1249005a090
1326721a497
141553aba68
15be4b5469
hex79be98ec

2042534124 has 48 divisors (see below), whose sum is σ = 5574172800. Its totient is φ = 645010128.

The previous prime is 2042534111. The next prime is 2042534129. The reversal of 2042534124 is 4214352402.

2042534124 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 534 + 124 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2042534129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495642 + ... + 499745.

It is an arithmetic number, because the mean of its divisors is an integer number (116128600).

Almost surely, 22042534124 is an apocalyptic number.

It is an amenable number.

2042534124 is an abundant number, since it is smaller than the sum of its proper divisors (3531638676).

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

2042534124 is a wasteful number, since it uses less digits than its factorization.

2042534124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995419 (or 995411 counting only the distinct ones).

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

The square root of 2042534124 is about 45194.4036801018. The cubic root of 2042534124 is about 1268.7900775550.

Adding to 2042534124 its reverse (4214352402), we get a palindrome (6256886526).

The spelling of 2042534124 in words is "two billion, forty-two million, five hundred thirty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 995387 1990774 2986161 3981548 5972322 8958483 11944644 17916966 18912353 26875449 35833932 37824706 53750898 56737059 75649412 107501796 113474118 170211177 226948236 340422354 510633531 680844708 1021267062 2042534124