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53142810 = 2357192701
BaseRepresentation
bin1100101010111…
…0010100011010
310200222221020020
43022232110122
5102101032220
65135011310
71213464210
oct312562432
9120887206
1053142810
1127aa7a86
1215969b36
13b018a66
1470b4cb0
1549eb040
hex32ae51a

53142810 has 96 divisors (see below), whose sum is σ = 154058112. Its totient is φ = 11491200.

The previous prime is 53142781. The next prime is 53142823. The reversal of 53142810 is 1824135.

53142810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×531428102 = 5648316509392200, which contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 75460 + ... + 76160.

It is an arithmetic number, because the mean of its divisors is an integer number (1604772).

Almost surely, 253142810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53142810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77029056).

53142810 is an abundant number, since it is smaller than the sum of its proper divisors (100915302).

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

53142810 is a wasteful number, since it uses less digits than its factorization.

53142810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 53142810 is about 7289.9115220968. The cubic root of 53142810 is about 375.9656534569.

Adding to 53142810 its reverse (1824135), we get a palindrome (54966945).

The spelling of 53142810 in words is "fifty-three million, one hundred forty-two thousand, eight hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 361 399 570 665 701 722 798 1083 1330 1402 1805 1995 2103 2166 2527 3505 3610 3990 4206 4907 5054 5415 7010 7581 9814 10515 10830 12635 13319 14721 15162 21030 24535 25270 26638 29442 37905 39957 49070 66595 73605 75810 79914 93233 133190 147210 186466 199785 253061 279699 399570 466165 506122 559398 759183 932330 1265305 1398495 1518366 1771427 2530610 2796990 3542854 3795915 5314281 7591830 8857135 10628562 17714270 26571405 53142810