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53625312 = 25321314323
BaseRepresentation
bin1100110010010…
…0000111100000
310201220110002200
43030210013200
5102212002222
65153213200
71220544006
oct314440740
9121813080
1053625312
11282a7544
1215b61200
13b157570
14719ca76
154a93eac
hex33241e0

53625312 has 72 divisors (see below), whose sum is σ = 164238984. Its totient is φ = 16498944.

The previous prime is 53625311. The next prime is 53625317. The reversal of 53625312 is 21352635.

53625312 is a `hidden beast` number, since 5 + 3 + 625 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53625311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3418 + ... + 10905.

It is an arithmetic number, because the mean of its divisors is an integer number (2281097).

Almost surely, 253625312 is an apocalyptic number.

53625312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

53625312 is an abundant number, since it is smaller than the sum of its proper divisors (110613672).

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

53625312 is a wasteful number, since it uses less digits than its factorization.

53625312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14352 (or 14341 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 53625312 is about 7322.9305609162. The cubic root of 53625312 is about 377.1000679515.

Adding to 53625312 its reverse (21352635), we get a palindrome (74977947).

The spelling of 53625312 in words is "fifty-three million, six hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 14323 28646 42969 57292 85938 114584 128907 171876 186199 229168 257814 343752 372398 458336 515628 558597 687504 744796 1031256 1117194 1375008 1489592 1675791 2062512 2234388 2979184 3351582 4125024 4468776 5958368 6703164 8937552 13406328 17875104 26812656 53625312