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52312520 = 23513293469
BaseRepresentation
bin1100011110001…
…1100111001000
310122102202021202
43013203213020
5101343000040
65105123332
71203435431
oct307434710
9118382252
1052312520
1127590197
1215629548
13aab7b70
146d3a488
1548d5015
hex31e39c8

52312520 has 64 divisors (see below), whose sum is σ = 131166000. Its totient is φ = 18643968.

The previous prime is 52312517. The next prime is 52312573. The reversal of 52312520 is 2521325.

52312520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2553604 + 49758916 = 1598^2 + 7054^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 52312492 and 52312501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13346 + ... + 16814.

Almost surely, 252312520 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 52312520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65583000).

52312520 is an abundant number, since it is smaller than the sum of its proper divisors (78853480).

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

52312520 is a wasteful number, since it uses less digits than its factorization.

52312520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 52312520 is about 7232.7394533468. The cubic root of 52312520 is about 373.9973690798.

Adding to 52312520 its reverse (2521325), we get a palindrome (54833845).

The spelling of 52312520 in words is "fifty-two million, three hundred twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 377 520 580 754 1160 1508 1885 3016 3469 3770 6938 7540 13876 15080 17345 27752 34690 45097 69380 90194 100601 138760 180388 201202 225485 360776 402404 450970 503005 804808 901940 1006010 1307813 1803880 2012020 2615626 4024040 5231252 6539065 10462504 13078130 26156260 52312520