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53115264 = 273447109
BaseRepresentation
bin1100101010011…
…1100110000000
310200221112110000
43022213212000
5102044142024
65134240000
71213320666
oct312474600
9120845400
1053115264
1127a89314
1215956000
13b009367
1470a8c36
1549e2cc9
hex32a7980

53115264 has 160 divisors (see below), whose sum is σ = 162914400. Its totient is φ = 17169408.

The previous prime is 53115263. The next prime is 53115287. The reversal of 53115264 is 46251135.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53115263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 487242 + ... + 487350.

It is an arithmetic number, because the mean of its divisors is an integer number (1018215).

Almost surely, 253115264 is an apocalyptic number.

53115264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53115264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81457200).

53115264 is an abundant number, since it is smaller than the sum of its proper divisors (109799136).

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

53115264 is a wasteful number, since it uses less digits than its factorization.

53115264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 161 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 53115264 is about 7288.0219538638. The cubic root of 53115264 is about 375.9006829885.

Adding to 53115264 its reverse (46251135), we get a palindrome (99366399).

The spelling of 53115264 in words is "fifty-three million, one hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 81 94 96 108 109 128 141 144 162 188 192 216 218 282 288 324 327 376 384 423 432 436 564 576 648 654 752 846 864 872 981 1128 1152 1269 1296 1308 1504 1692 1728 1744 1962 2256 2538 2592 2616 2943 3008 3384 3456 3488 3807 3924 4512 5076 5123 5184 5232 5886 6016 6768 6976 7614 7848 8829 9024 10152 10246 10368 10464 11772 13536 13952 15228 15369 15696 17658 18048 20304 20492 20928 23544 27072 30456 30738 31392 35316 40608 40984 41856 46107 47088 54144 60912 61476 62784 70632 81216 81968 92214 94176 121824 122952 125568 138321 141264 162432 163936 184428 188352 243648 245904 276642 282528 327872 368856 376704 414963 487296 491808 553284 565056 655744 737712 829926 983616 1106568 1130112 1475424 1659852 1967232 2213136 2950848 3319704 4426272 5901696 6639408 8852544 13278816 17705088 26557632 53115264