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52513344 = 2632137013
BaseRepresentation
bin1100100001010…
…0101001000000
310122210221202200
43020110221000
5101420411334
65113313200
71205233062
oct310245100
9118727680
1052513344
1127708064
1215705800
13ab583b0
146d8d732
154924799
hex3214a40

52513344 has 84 divisors (see below), whose sum is σ = 162121596. Its totient is φ = 16155648.

The previous prime is 52513343. The next prime is 52513361. The reversal of 52513344 is 44331525.

52513344 is a `hidden beast` number, since 525 + 133 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25887744 + 26625600 = 5088^2 + 5160^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52513343) 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, 3982 + ... + 10994.

It is an arithmetic number, because the mean of its divisors is an integer number (1930019).

Almost surely, 252513344 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 52513344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81060798).

52513344 is an abundant number, since it is smaller than the sum of its proper divisors (109608252).

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

52513344 is a wasteful number, since it uses less digits than its factorization.

52513344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7044 (or 7031 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 52513344 is about 7246.6091380728. The cubic root of 52513344 is about 374.4753409634.

Adding to 52513344 its reverse (44331525), we get a palindrome (96844869).

The spelling of 52513344 in words is "fifty-two million, five hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7013 7488 14026 21039 28052 42078 56104 63117 84156 91169 112208 126234 168312 182338 224416 252468 273507 336624 364676 448832 504936 547014 673248 729352 820521 1009872 1094028 1346496 1458704 1641042 2019744 2188056 2917408 3282084 4039488 4376112 5834816 6564168 8752224 13128336 17504448 26256672 52513344