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53316564 = 223741113137
BaseRepresentation
bin1100101101100…
…0101111010100
310201022202120120
43023120233110
5102122112224
65142431540
71215116610
oct313305724
9121282516
1053316564
1128106584
1215a325b0
13b079b82
14711c340
154a32779
hex32d8bd4

53316564 has 96 divisors (see below), whose sum is σ = 148006656. Its totient is φ = 14622720.

The previous prime is 53316563. The next prime is 53316577. The reversal of 53316564 is 46561335.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53316563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389104 + ... + 389240.

It is an arithmetic number, because the mean of its divisors is an integer number (1541736).

Almost surely, 253316564 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 53316564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74003328).

53316564 is an abundant number, since it is smaller than the sum of its proper divisors (94690092).

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

53316564 is a wasteful number, since it uses less digits than its factorization.

53316564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 303 counting only the distinct ones).

The product of its digits is 32400, while the sum is 33.

The square root of 53316564 is about 7301.8192253712. The cubic root of 53316564 is about 376.3749560497.

Adding to 53316564 its reverse (46561335), we get a palindrome (99877899).

The spelling of 53316564 in words is "fifty-three million, three hundred sixteen thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 113 123 137 164 226 246 274 287 339 411 452 492 548 574 678 791 822 861 959 1148 1356 1582 1644 1722 1918 2373 2877 3164 3444 3836 4633 4746 5617 5754 9266 9492 11234 11508 13899 15481 16851 18532 22468 27798 30962 32431 33702 39319 46443 55596 61924 64862 67404 78638 92886 97293 108367 117957 129724 157276 185772 194586 216734 235914 325101 389172 433468 471828 634721 650202 1269442 1300404 1904163 2538884 3808326 4443047 7616652 8886094 13329141 17772188 26658282 53316564