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53212320 = 2532575279
BaseRepresentation
bin1100101011111…
…1010010100000
310201010110120200
43022333102200
5102110243240
65140305200
71214203650
oct312772240
9121113520
1053212320
1128045227
12159a2200
13b0415a5
1470d2360
154a11930
hex32bf4a0

53212320 has 144 divisors (see below), whose sum is σ = 207567360. Its totient is φ = 12160512.

The previous prime is 53212309. The next prime is 53212321. The reversal of 53212320 is 2321235.

53212320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 53212293 and 53212302.

It is not an unprimeable number, because it can be changed into a prime (53212321) 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 23 ways as a sum of consecutive naturals, for example, 7441 + ... + 12719.

It is an arithmetic number, because the mean of its divisors is an integer number (1441440).

Almost surely, 253212320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103783680).

53212320 is an abundant number, since it is smaller than the sum of its proper divisors (154355040).

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

53212320 is a wasteful number, since it uses less digits than its factorization.

53212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5307 (or 5296 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 53212320 is about 7294.6775117204. The cubic root of 53212320 is about 376.1295011898.

Adding to 53212320 its reverse (2321235), we get a palindrome (55533555).

The spelling of 53212320 in words is "fifty-three million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 5279 10080 10558 15837 21116 26395 31674 36953 42232 47511 52790 63348 73906 79185 84464 95022 105580 110859 126696 147812 158370 168928 184765 190044 211160 221718 237555 253392 295624 316740 332577 369530 380088 422320 443436 475110 506784 554295 591248 633480 665154 739060 760176 844640 886872 950220 1108590 1182496 1266960 1330308 1478120 1520352 1662885 1773744 1900440 2217180 2533920 2660616 2956240 3325770 3547488 3800880 4434360 5321232 5912480 6651540 7601760 8868720 10642464 13303080 17737440 26606160 53212320