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53301300 = 223521379173
BaseRepresentation
bin1100101101010…
…1000000110100
310201021222122020
43023111000310
5102121120200
65142233140
71215024243
oct313250064
9121258566
1053301300
11280a6068
1215a257b0
13b072c40
14711695a
154a2cea0
hex32d5034

53301300 has 144 divisors (see below), whose sum is σ = 169155840. Its totient is φ = 12879360.

The previous prime is 53301293. The next prime is 53301329. The reversal of 53301300 is 310335.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 53301300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308014 + ... + 308186.

Almost surely, 253301300 is an apocalyptic number.

53301300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84577920).

53301300 is an abundant number, since it is smaller than the sum of its proper divisors (115854540).

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

53301300 is a wasteful number, since it uses less digits than its factorization.

53301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 53301300 is about 7300.7739315774. The cubic root of 53301300 is about 376.3390351574.

Adding to 53301300 its reverse (310335), we get a palindrome (53611635).

The spelling of 53301300 in words is "fifty-three million, three hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 79 100 130 150 156 158 173 195 237 260 300 316 325 346 390 395 474 519 650 692 780 790 865 948 975 1027 1038 1185 1300 1580 1730 1950 1975 2054 2076 2249 2370 2595 3081 3460 3900 3950 4108 4325 4498 4740 5135 5190 5925 6162 6747 7900 8650 8996 10270 10380 11245 11850 12324 12975 13494 13667 15405 17300 20540 22490 23700 25675 25950 26988 27334 30810 33735 41001 44980 51350 51900 54668 56225 61620 67470 68335 77025 82002 102700 112450 134940 136670 154050 164004 168675 177671 205005 224900 273340 308100 337350 341675 355342 410010 533013 674700 683350 710684 820020 888355 1025025 1066026 1366700 1776710 2050050 2132052 2665065 3553420 4100100 4441775 5330130 8883550 10660260 13325325 17767100 26650650 53301300