Search a number
-
+
53320512 = 263797409
BaseRepresentation
bin1100101101100…
…1101101000000
310201022221222210
43023121231000
5102122224022
65142502120
71215134250
oct313315500
9121287883
1053320512
1128109543
1215a34940
13b07b8cb
14711d960
154a33a0c
hex32d9b40

53320512 has 112 divisors (see below), whose sum is σ = 163291520. Its totient is φ = 15040512.

The previous prime is 53320507. The next prime is 53320529. The reversal of 53320512 is 21502335.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130164 + ... + 130572.

It is an arithmetic number, because the mean of its divisors is an integer number (1457960).

Almost surely, 253320512 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 53320512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81645760).

53320512 is an abundant number, since it is smaller than the sum of its proper divisors (109971008).

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

53320512 is a wasteful number, since it uses less digits than its factorization.

53320512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 53320512 is about 7302.0895639536. The cubic root of 53320512 is about 376.3842457935.

Adding to 53320512 its reverse (21502335), we get a palindrome (74822847).

The spelling of 53320512 in words is "fifty-three million, three hundred twenty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 97 112 168 192 194 224 291 336 388 409 448 582 672 679 776 818 1164 1227 1344 1358 1552 1636 2037 2328 2454 2716 2863 3104 3272 4074 4656 4908 5432 5726 6208 6544 8148 8589 9312 9816 10864 11452 13088 16296 17178 18624 19632 21728 22904 26176 32592 34356 39264 39673 43456 45808 65184 68712 78528 79346 91616 119019 130368 137424 158692 183232 238038 274848 277711 317384 476076 549696 555422 634768 833133 952152 1110844 1269536 1666266 1904304 2221688 2539072 3332532 3808608 4443376 6665064 7617216 8886752 13330128 17773504 26660256 53320512