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53315328 = 283116311
BaseRepresentation
bin1100101101100…
…0011100000000
310201022200212210
43023120130000
5102122042303
65142422120
71215113163
oct313303400
9121280783
1053315328
1128105660
1215a31940
13b079441
14711bada
154a32203
hex32d8700

53315328 has 72 divisors (see below), whose sum is σ = 154820736. Its totient is φ = 16153600.

The previous prime is 53315309. The next prime is 53315347. The reversal of 53315328 is 82351335.

It is an interprime number because it is at equal distance from previous prime (53315309) and next prime (53315347).

It is a junction number, because it is equal to n+sod(n) for n = 53315295 and 53315304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5293 + ... + 11603.

It is an arithmetic number, because the mean of its divisors is an integer number (2150288).

Almost surely, 253315328 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 53315328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77410368).

53315328 is an abundant number, since it is smaller than the sum of its proper divisors (101505408).

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

53315328 is a wasteful number, since it uses less digits than its factorization.

53315328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6341 (or 6327 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 53315328 is about 7301.7345884386. The cubic root of 53315328 is about 376.3720476163.

The spelling of 53315328 in words is "fifty-three million, three hundred fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 6311 8448 12622 18933 25244 37866 50488 69421 75732 100976 138842 151464 201952 208263 277684 302928 403904 416526 555368 605856 807808 833052 1110736 1211712 1615616 1666104 2221472 2423424 3332208 4442944 4846848 6664416 8885888 13328832 17771776 26657664 53315328