Search a number
-
+
53225840 = 24519397
BaseRepresentation
bin1100101100001…
…0100101110000
310201011011010102
43023002211300
5102111211330
65140451532
71214261243
oct313024560
9121134112
1053225840
11280543a8
12159a9ba8
13b0477a5
1470d725a
154a15945
hex32c2970

53225840 has 80 divisors (see below), whose sum is σ = 131970720. Its totient is φ = 19961856.

The previous prime is 53225813. The next prime is 53225867. The reversal of 53225840 is 4852235.

It is an interprime number because it is at equal distance from previous prime (53225813) and next prime (53225867).

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 548672 + ... + 548768.

It is an arithmetic number, because the mean of its divisors is an integer number (1649634).

Almost surely, 253225840 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 53225840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65985360).

53225840 is an abundant number, since it is smaller than the sum of its proper divisors (78744880).

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

53225840 is an equidigital number, since it uses as much as digits as its factorization.

53225840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 53225840 is about 7295.6041559284. The cubic root of 53225840 is about 376.1613537147.

The spelling of 53225840 in words is "fifty-three million, two hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 97 152 190 194 304 361 380 388 485 722 760 776 970 1444 1520 1552 1805 1843 1940 2888 3610 3686 3880 5776 6859 7220 7372 7760 9215 13718 14440 14744 18430 27436 28880 29488 34295 35017 36860 54872 68590 70034 73720 109744 137180 140068 147440 175085 274360 280136 350170 548720 560272 665323 700340 1330646 1400680 2661292 2801360 3326615 5322584 6653230 10645168 13306460 26612920 53225840