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53260064 = 251113103113
BaseRepresentation
bin1100101100101…
…0111100100000
310201012220001222
43023022330200
5102113310224
65141314212
71214463104
oct313127440
9121186058
1053260064
1128078090
1215a05968
13b05a240
147105904
154a20b5e
hex32caf20

53260064 has 96 divisors (see below), whose sum is σ = 125483904. Its totient is φ = 21934080.

The previous prime is 53260061. The next prime is 53260069. The reversal of 53260064 is 46006235.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (53260061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471272 + ... + 471384.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124).

Almost surely, 253260064 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 53260064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62741952).

53260064 is an abundant number, since it is smaller than the sum of its proper divisors (72223840).

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

53260064 is a wasteful number, since it uses less digits than its factorization.

53260064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 53260064 is about 7297.9493010023. The cubic root of 53260064 is about 376.2419598507.

Adding to 53260064 its reverse (46006235), we get a palindrome (99266299).

The spelling of 53260064 in words is "fifty-three million, two hundred sixty thousand, sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 103 104 113 143 176 206 208 226 286 352 412 416 452 572 824 904 1133 1144 1243 1339 1469 1648 1808 2266 2288 2486 2678 2938 3296 3616 4532 4576 4972 5356 5876 9064 9944 10712 11639 11752 14729 16159 18128 19888 21424 23278 23504 29458 32318 36256 39776 42848 46556 47008 58916 64636 93112 117832 128029 129272 151307 186224 235664 256058 258544 302614 372448 471328 512116 517088 605228 1024232 1210456 1664377 2048464 2420912 3328754 4096928 4841824 6657508 13315016 26630032 53260064