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52813120 = 265165041
BaseRepresentation
bin1100100101110…
…1110101000000
310200101011222111
43021131311000
5102010004440
65123545104
71210622053
oct311356500
9120334874
1052813120
11278a2308
121582b194
13ac31989
14702aa9a
1549834ea
hex325dd40

52813120 has 28 divisors (see below), whose sum is σ = 125762004. Its totient is φ = 21125120.

The previous prime is 52813109. The next prime is 52813121. The reversal of 52813120 is 2131825.

It can be written as a sum of positive squares in 2 ways, for example, as 34012224 + 18800896 = 5832^2 + 4336^2 .

It is a junction number, because it is equal to n+sod(n) for n = 52813091 and 52813100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52813121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82201 + ... + 82840.

Almost surely, 252813120 is an apocalyptic number.

It is an amenable number.

52813120 is an abundant number, since it is smaller than the sum of its proper divisors (72948884).

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

52813120 is a wasteful number, since it uses less digits than its factorization.

52813120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165058 (or 165048 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 52813120 is about 7267.2635840459. The cubic root of 52813120 is about 375.1865619851.

Adding to 52813120 its reverse (2131825), we get a palindrome (54944945).

The spelling of 52813120 in words is "fifty-two million, eight hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 165041 330082 660164 825205 1320328 1650410 2640656 3300820 5281312 6601640 10562624 13203280 26406560 52813120