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52024434 = 23711229353
BaseRepresentation
bin1100011001110…
…1010001110010
310121220010002220
43012131101302
5101304240214
65055021510
71201125510
oct306352162
9117803086
1052024434
1127403800
121550a896
13aa169b7
146ca34b0
1548799a9
hex319d472

52024434 has 96 divisors (see below), whose sum is σ = 135596160. Its totient is φ = 13009920.

The previous prime is 52024433. The next prime is 52024439. The reversal of 52024434 is 43442025.

52024434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (52024433) 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 47 ways as a sum of consecutive naturals, for example, 147202 + ... + 147554.

It is an arithmetic number, because the mean of its divisors is an integer number (1412460).

Almost surely, 252024434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52024434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67798080).

52024434 is an abundant number, since it is smaller than the sum of its proper divisors (83571726).

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

52024434 is a wasteful number, since it uses less digits than its factorization.

52024434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 52024434 is about 7212.7965450302. The cubic root of 52024434 is about 373.3095681797.

Adding to 52024434 its reverse (43442025), we get a palindrome (95466459).

The spelling of 52024434 in words is "fifty-two million, twenty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 66 77 87 121 154 174 203 231 242 319 353 363 406 462 609 638 706 726 847 957 1059 1218 1694 1914 2118 2233 2471 2541 3509 3883 4466 4942 5082 6699 7018 7413 7766 10237 10527 11649 13398 14826 20474 21054 23298 24563 27181 30711 42713 49126 54362 61422 71659 73689 81543 85426 112607 128139 143318 147378 163086 214977 225214 256278 298991 337821 429954 597982 675642 788249 896973 1238677 1576498 1793946 2364747 2477354 3716031 4729494 7432062 8670739 17341478 26012217 52024434