Search a number
-
+
52786360 = 23511177057
BaseRepresentation
bin1100100101011…
…1010010111000
310200022211021101
43021113102320
5102003130420
65123221144
71210451044
oct311272270
9120284241
1052786360
11278841a0
12158177b4
13ac22743
147021024
15497a60a
hex32574b8

52786360 has 64 divisors (see below), whose sum is σ = 137207520. Its totient is φ = 18063360.

The previous prime is 52786303. The next prime is 52786361. The reversal of 52786360 is 6368725.

52786360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52786361) by changing a digit.

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, 3952 + ... + 11008.

Almost surely, 252786360 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 52786360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68603760).

52786360 is an abundant number, since it is smaller than the sum of its proper divisors (84421160).

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

52786360 is a wasteful number, since it uses less digits than its factorization.

52786360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7096 (or 7092 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 52786360 is about 7265.4222176003. The cubic root of 52786360 is about 375.1231832350.

The spelling of 52786360 in words is "fifty-two million, seven hundred eighty-six thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7057 7480 14114 28228 35285 56456 70570 77627 119969 141140 155254 239938 282280 310508 388135 479876 599845 621016 776270 959752 1199690 1319659 1552540 2399380 2639318 3105080 4798760 5278636 6598295 10557272 13196590 26393180 52786360