Search a number
-
+
52835536 = 2413389653
BaseRepresentation
bin1100100110001…
…1010011010000
310200102022201201
43021203103100
5102011214121
65124240544
71211044315
oct311432320
9120368651
1052835536
1127908136
1215840154
13ac3bc40
147034d0c
154989e91
hex32634d0

52835536 has 40 divisors (see below), whose sum is σ = 110696040. Its totient is φ = 24285696.

The previous prime is 52835527. The next prime is 52835537. The reversal of 52835536 is 63553825.

It can be written as a sum of positive squares in 4 ways, for example, as 360000 + 52475536 = 600^2 + 7244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 52835495 and 52835504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52835537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80586 + ... + 81238.

It is an arithmetic number, because the mean of its divisors is an integer number (2767401).

Almost surely, 252835536 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 52835536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55348020).

52835536 is an abundant number, since it is smaller than the sum of its proper divisors (57860504).

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

52835536 is a wasteful number, since it uses less digits than its factorization.

52835536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1057 counting only the distinct ones).

The product of its digits is 108000, while the sum is 37.

The square root of 52835536 is about 7268.8056790645. The cubic root of 52835536 is about 375.2396358702.

The spelling of 52835536 in words is "fifty-two million, eight hundred thirty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 389 653 778 1306 1556 2612 3112 5057 5224 6224 8489 10114 10448 16978 20228 33956 40456 67912 80912 135824 254017 508034 1016068 2032136 3302221 4064272 6604442 13208884 26417768 52835536