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53439360 = 2735132141
BaseRepresentation
bin1100101111011…
…0101110000000
310201120000000120
43023312232000
5102140024420
65145220240
71216140612
oct313665600
9121500016
1053439360
112818a867
1215a91680
13b0c0a30
147150db2
154a58d40
hex32f6b80

53439360 has 128 divisors (see below), whose sum is σ = 183526560. Its totient is φ = 13148160.

The previous prime is 53439349. The next prime is 53439361. The reversal of 53439360 is 6393435.

53439360 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 (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53439361) 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 15 ways as a sum of consecutive naturals, for example, 23890 + ... + 26030.

Almost surely, 253439360 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 53439360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91763280).

53439360 is an abundant number, since it is smaller than the sum of its proper divisors (130087200).

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

53439360 is a wasteful number, since it uses less digits than its factorization.

53439360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

The square root of 53439360 is about 7310.2229788154. Note that the first 3 decimals coincide. The cubic root of 53439360 is about 376.6636837243.

The spelling of 53439360 in words is "fifty-three million, four hundred thirty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2141 2496 3120 4160 4282 4992 6240 6423 8320 8564 10705 12480 12846 17128 21410 24960 25692 27833 32115 34256 42820 51384 55666 64230 68512 83499 85640 102768 111332 128460 137024 139165 166998 171280 205536 222664 256920 274048 278330 333996 342560 411072 417495 445328 513840 556660 667992 685120 822144 834990 890656 1027680 1113320 1335984 1370240 1669980 1781312 2055360 2226640 2671968 3339960 3562624 4110720 4453280 5343936 6679920 8906560 10687872 13359840 17813120 26719680 53439360