Search a number
-
+
52726352 = 2472109617
BaseRepresentation
bin1100100100100…
…0101001010000
310200012202221212
43021020221100
5101444220402
65122035252
71210111100
oct311105120
9120182855
1052726352
11278430a8
12157a8b28
13ac01333
147007200
154967952
hex3248a50

52726352 has 60 divisors (see below), whose sum is σ = 120120660. Its totient is φ = 22353408.

The previous prime is 52726351. The next prime is 52726363. The reversal of 52726352 is 25362725.

It can be written as a sum of positive squares in 2 ways, for example, as 15808576 + 36917776 = 3976^2 + 6076^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52726351) 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, 85148 + ... + 85764.

It is an arithmetic number, because the mean of its divisors is an integer number (2002011).

Almost surely, 252726352 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 52726352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60060330).

52726352 is an abundant number, since it is smaller than the sum of its proper divisors (67394308).

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

52726352 is a wasteful number, since it uses less digits than its factorization.

52726352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 735 counting only the distinct ones).

The product of its digits is 25200, while the sum is 32.

The square root of 52726352 is about 7261.2913452085. The cubic root of 52726352 is about 374.9809815540.

The spelling of 52726352 in words is "fifty-two million, seven hundred twenty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 109 112 196 218 392 436 617 763 784 872 1234 1526 1744 2468 3052 4319 4936 5341 6104 8638 9872 10682 12208 17276 21364 30233 34552 42728 60466 67253 69104 85456 120932 134506 241864 269012 470771 483728 538024 941542 1076048 1883084 3295397 3766168 6590794 7532336 13181588 26363176 52726352