Search a number
-
+
52818966 = 236172131
BaseRepresentation
bin1100100101111…
…1010000010110
310200101111000000
43021133100112
5102010201331
65124032130
71210645104
oct311372026
9120344000
1052818966
11278a6742
1215832646
13ac34535
14702cc74
1549850e6
hex325f416

52818966 has 56 divisors (see below), whose sum is σ = 125834904. Its totient is φ = 16562880.

The previous prime is 52818923. The next prime is 52818967. The reversal of 52818966 is 66981825.

52818966 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 (52818967) 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 27 ways as a sum of consecutive naturals, for example, 23721 + ... + 25851.

Almost surely, 252818966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52818966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62917452).

52818966 is an abundant number, since it is smaller than the sum of its proper divisors (73015938).

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

52818966 is a wasteful number, since it uses less digits than its factorization.

52818966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2153 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 52818966 is about 7267.6657875827. The cubic root of 52818966 is about 375.2004048819.

The spelling of 52818966 in words is "fifty-two million, eight hundred eighteen thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 729 918 1377 1458 2131 2754 4131 4262 6393 8262 12393 12786 19179 24786 36227 38358 57537 72454 108681 115074 172611 217362 326043 345222 517833 652086 978129 1035666 1553499 1956258 2934387 3106998 5868774 8803161 17606322 26409483 52818966