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53665440 = 2535234861
BaseRepresentation
bin1100110010110…
…1111010100000
310201222111010220
43030231322200
5102214243230
65154123040
71221102003
oct314557240
9121874126
1053665440
1128324704
1215b80480
13b16c8ca
1471ad53a
154aa0d10
hex332dea0

53665440 has 96 divisors (see below), whose sum is σ = 176432256. Its totient is φ = 13685760.

The previous prime is 53665427. The next prime is 53665483. The reversal of 53665440 is 4456635.

53665440 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 (96).

It is an unprimeable number.

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, 8610 + ... + 13470.

It is an arithmetic number, because the mean of its divisors is an integer number (1837836).

Almost surely, 253665440 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 53665440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88216128).

53665440 is an abundant number, since it is smaller than the sum of its proper divisors (122766816).

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

53665440 is a wasteful number, since it uses less digits than its factorization.

53665440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4902 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 53665440 is about 7325.6699352346. The cubic root of 53665440 is about 377.1941062456.

The spelling of 53665440 in words is "fifty-three million, six hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 4861 5520 9722 11040 14583 19444 24305 29166 38888 48610 58332 72915 77776 97220 111803 116664 145830 155552 194440 223606 233328 291660 335409 388880 447212 466656 559015 583320 670818 777760 894424 1118030 1166640 1341636 1677045 1788848 2236060 2333280 2683272 3354090 3577696 4472120 5366544 6708180 8944240 10733088 13416360 17888480 26832720 53665440