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53251616 = 2511217809
BaseRepresentation
bin1100101100100…
…0111000100000
310201012110111002
43023020320200
5102113022431
65141211132
71214426345
oct313107040
9121173432
1053251616
1128071800
1215a00aa8
13b056442
1471027cc
154a1d3cb
hex32c8e20

53251616 has 72 divisors (see below), whose sum is σ = 122165820. Its totient is φ = 22753280.

The previous prime is 53251603. The next prime is 53251619. The reversal of 53251616 is 61615235.

It can be written as a sum of positive squares in 2 ways, for example, as 46512400 + 6739216 = 6820^2 + 2596^2 .

It is a super-2 number, since 2×532516162 = 5671469213222912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (53251619) 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, 65420 + ... + 66228.

Almost surely, 253251616 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 53251616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61082910).

53251616 is an abundant number, since it is smaller than the sum of its proper divisors (68914204).

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

53251616 is a wasteful number, since it uses less digits than its factorization.

53251616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 839 counting only the distinct ones).

The product of its digits is 5400, while the sum is 29.

The square root of 53251616 is about 7297.3704853187. The cubic root of 53251616 is about 376.2220658945. Note that the first 3 decimals are identical.

The spelling of 53251616 in words is "fifty-three million, two hundred fifty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 121 136 176 187 242 272 352 374 484 544 748 809 968 1496 1618 1936 2057 2992 3236 3872 4114 5984 6472 8228 8899 12944 13753 16456 17798 25888 27506 32912 35596 55012 65824 71192 97889 110024 142384 151283 195778 220048 284768 302566 391556 440096 605132 783112 1210264 1566224 1664113 2420528 3132448 3328226 4841056 6656452 13312904 26625808 53251616