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53210664 = 23321324373
BaseRepresentation
bin1100101011111…
…0111000101000
310201010101022100
43022332320220
5102110220124
65140253400
71214166063
oct312767050
9121111270
1053210664
1128043a61
12159a1260
13b040900
1470d18da
154a111c9
hex32bee28

53210664 has 72 divisors (see below), whose sum is σ = 156086190. Its totient is φ = 16368768.

The previous prime is 53210657. The next prime is 53210681. The reversal of 53210664 is 46601235.

It can be written as a sum of positive squares in 3 ways, for example, as 28708164 + 24502500 = 5358^2 + 4950^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9982 + ... + 14354.

Almost surely, 253210664 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 53210664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78043095).

53210664 is an abundant number, since it is smaller than the sum of its proper divisors (102875526).

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

53210664 is a wasteful number, since it uses less digits than its factorization.

53210664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4411 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 53210664 is about 7294.5640034206. The cubic root of 53210664 is about 376.1255993558.

Adding to 53210664 its reverse (46601235), we get a palindrome (99811899).

The spelling of 53210664 in words is "fifty-three million, two hundred ten thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 4373 6084 8746 12168 13119 17492 26238 34984 39357 52476 56849 78714 104952 113698 157428 170547 227396 314856 341094 454792 511641 682188 739037 1023282 1364376 1478074 2046564 2217111 2956148 4093128 4434222 5912296 6651333 8868444 13302666 17736888 26605332 53210664