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53205440 = 265237229
BaseRepresentation
bin1100101011110…
…1100111000000
310201010010010212
43022331213000
5102110033230
65140213252
71214144621
oct312754700
9121103125
1053205440
1128040042
121599a228
13b03b412
1470cda48
154a0e895
hex32bd9c0

53205440 has 56 divisors (see below), whose sum is σ = 132222240. Its totient is φ = 20354048.

The previous prime is 53205403. The next prime is 53205469. The reversal of 53205440 is 4450235.

53205440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3746 + ... + 10974.

Almost surely, 253205440 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 53205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66111120).

53205440 is an abundant number, since it is smaller than the sum of its proper divisors (79016800).

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

53205440 is a wasteful number, since it uses less digits than its factorization.

53205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7269 (or 7259 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 53205440 is about 7294.2059197695. The cubic root of 53205440 is about 376.1132901413.

Adding to 53205440 its reverse (4450235), we get a palindrome (57655675).

The spelling of 53205440 in words is "fifty-three million, two hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7229 7360 14458 28916 36145 57832 72290 115664 144580 166267 231328 289160 332534 462656 578320 665068 831335 1156640 1330136 1662670 2313280 2660272 3325340 5320544 6650680 10641088 13301360 26602720 53205440