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52838142 = 23717431721
BaseRepresentation
bin1100100110001…
…1111011111110
310200102110022020
43021203323332
5102011310032
65124301010
71211055030
oct311437376
9120373266
1052838142
112790a095
1215841766
13ac40196
147035c50
15498ab2c
hex3263efe

52838142 has 64 divisors (see below), whose sum is σ = 130927104. Its totient is φ = 13870080.

The previous prime is 52838141. The next prime is 52838147. The reversal of 52838142 is 24183825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52838141) by changing a digit.

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, 29842 + ... + 31562.

It is an arithmetic number, because the mean of its divisors is an integer number (2045736).

Almost surely, 252838142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52838142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65463552).

52838142 is an abundant number, since it is smaller than the sum of its proper divisors (78088962).

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

52838142 is a wasteful number, since it uses less digits than its factorization.

52838142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793.

The product of its digits is 15360, while the sum is 33.

The square root of 52838142 is about 7268.9849360141. The cubic root of 52838142 is about 375.2458050667.

The spelling of 52838142 in words is "fifty-two million, eight hundred thirty-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 43 51 86 102 119 129 238 258 301 357 602 714 731 903 1462 1721 1806 2193 3442 4386 5117 5163 10234 10326 12047 15351 24094 29257 30702 36141 58514 72282 74003 87771 148006 175542 204799 222009 409598 444018 518021 614397 1036042 1228794 1258051 1554063 2516102 3108126 3774153 7548306 8806357 17612714 26419071 52838142