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53082810 = 23351161293
BaseRepresentation
bin1100101001111…
…1101010111010
310200212212221000
43022133222322
5102042122220
65133425430
71213124244
oct312375272
9120785830
1053082810
1127a669a0
121593b276
13acc7661
14709b094
1549d8390
hex329faba

53082810 has 128 divisors (see below), whose sum is σ = 157489920. Its totient is φ = 12614400.

The previous prime is 53082803. The next prime is 53082829. The reversal of 53082810 is 1828035.

It is a happy number.

It is a super-2 number, since 2×530828102 = 5635569434992200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181024 + ... + 181316.

It is an arithmetic number, because the mean of its divisors is an integer number (1230390).

Almost surely, 253082810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53082810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78744960).

53082810 is an abundant number, since it is smaller than the sum of its proper divisors (104407110).

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

53082810 is a wasteful number, since it uses less digits than its factorization.

53082810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 53082810 is about 7285.7950835856. The cubic root of 53082810 is about 375.8241075978.

It can be divided in two parts, 5308 and 2810, that added together give a palindrome (8118).

The spelling of 53082810 in words is "fifty-three million, eighty-two thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 61 66 90 99 110 122 135 165 183 198 270 293 297 305 330 366 495 549 586 594 610 671 879 915 990 1098 1342 1465 1485 1647 1758 1830 2013 2637 2745 2930 2970 3223 3294 3355 4026 4395 5274 5490 6039 6446 6710 7911 8235 8790 9669 10065 12078 13185 15822 16115 16470 17873 18117 19338 20130 26370 29007 30195 32230 35746 36234 39555 48345 53619 58014 60390 79110 87021 89365 90585 96690 107238 145035 160857 174042 178730 181170 196603 268095 290070 321714 393206 435105 482571 536190 589809 804285 870210 965142 983015 1179618 1608570 1769427 1966030 2412855 2949045 3538854 4825710 5308281 5898090 8847135 10616562 17694270 26541405 53082810