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53053434 = 2337198389
BaseRepresentation
bin1100101001100…
…0011111111010
310200211101122000
43022120133322
5102040202214
65133041430
71212642510
oct312303772
9120741560
1053053434
1127a46915
1215926276
13acb7185
1470904b0
1549ce809
hex32987fa

53053434 has 128 divisors (see below), whose sum is σ = 145152000. Its totient is φ = 14027904.

The previous prime is 53053423. The next prime is 53053439. The reversal of 53053434 is 43435035.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 53053398 and 53053407.

It is not an unprimeable number, because it can be changed into a prime (53053439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 596062 + ... + 596150.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 253053434 is an apocalyptic number.

53053434 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53053434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576000).

53053434 is an abundant number, since it is smaller than the sum of its proper divisors (92098566).

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

53053434 is a wasteful number, since it uses less digits than its factorization.

53053434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 53053434 is about 7283.7788269551. The cubic root of 53053434 is about 375.7547678488.

Adding to 53053434 its reverse (43435035), we get a palindrome (96488469).

The spelling of 53053434 in words is "fifty-three million, fifty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 83 89 114 126 133 166 171 178 189 249 266 267 342 378 399 498 513 534 581 623 747 798 801 1026 1162 1197 1246 1494 1577 1602 1691 1743 1869 2241 2394 2403 3154 3382 3486 3591 3738 4482 4731 4806 5073 5229 5607 7182 7387 9462 10146 10458 11039 11214 11837 14193 14774 15219 15687 16821 22078 22161 23674 28386 30438 31374 33117 33642 35511 42579 44322 45657 51709 66234 66483 71022 85158 91314 99351 103418 106533 132966 140353 155127 198702 199449 213066 280706 298053 310254 319599 398898 421059 465381 596106 639198 842118 930762 982471 1263177 1396143 1964942 2526354 2792286 2947413 3789531 5894826 7579062 8842239 17684478 26526717 53053434