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53017164 = 223259109229
BaseRepresentation
bin1100101000111…
…1101001001100
310200202112212200
43022033221030
5102033022124
65132201500
71212431664
oct312175114
9120675780
1053017164
1127a21642
1215909290
13aca3805
1470811a4
1549c3bc9
hex328fa4c

53017164 has 72 divisors (see below), whose sum is σ = 138138000. Its totient is φ = 17138304.

The previous prime is 53017127. The next prime is 53017171. The reversal of 53017164 is 46171035.

53017164 is a `hidden beast` number, since 530 + 1 + 71 + 64 = 666.

53017164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 231402 + ... + 231630.

Almost surely, 253017164 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 53017164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69069000).

53017164 is an abundant number, since it is smaller than the sum of its proper divisors (85120836).

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

53017164 is a wasteful number, since it uses less digits than its factorization.

53017164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 53017164 is about 7281.2886222152. The cubic root of 53017164 is about 375.6691200322.

Adding to 53017164 its reverse (46171035), we get a palindrome (99188199).

It can be divided in two parts, 5 and 3017164, that added together give a square (3017169 = 17372).

The spelling of 53017164 in words is "fifty-three million, seventeen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 109 118 177 218 229 236 327 354 436 458 531 654 687 708 916 981 1062 1308 1374 1962 2061 2124 2748 3924 4122 6431 8244 12862 13511 19293 24961 25724 27022 38586 40533 49922 54044 57879 74883 77172 81066 99844 115758 121599 149766 162132 224649 231516 243198 299532 449298 486396 898596 1472699 2945398 4418097 5890796 8836194 13254291 17672388 26508582 53017164