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52145360 = 245738929
BaseRepresentation
bin1100011011101…
…0110011010000
310122010020222122
43012322303100
5101322122420
65101353412
71202141201
oct306726320
9118106878
1052145360
1127486643
1215568868
13aa59a57
146cd55a8
1548a0725
hex31bacd0

52145360 has 40 divisors (see below), whose sum is σ = 122912520. Its totient is φ = 20570112.

The previous prime is 52145339. The next prime is 52145389. The reversal of 52145360 is 6354125.

52145360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 190096 + 51955264 = 436^2 + 7208^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 1376 + ... + 10304.

It is an arithmetic number, because the mean of its divisors is an integer number (3072813).

Almost surely, 252145360 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 52145360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61456260).

52145360 is an abundant number, since it is smaller than the sum of its proper divisors (70767160).

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

52145360 is a wasteful number, since it uses less digits than its factorization.

52145360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9015 (or 9009 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 52145360 is about 7221.1744197187. The cubic root of 52145360 is about 373.5985855874.

Adding to 52145360 its reverse (6354125), we get a palindrome (58499485).

The spelling of 52145360 in words is "fifty-two million, one hundred forty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 8929 17858 35716 44645 71432 89290 142864 178580 357160 651817 714320 1303634 2607268 3259085 5214536 6518170 10429072 13036340 26072680 52145360