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53315360 = 2557181263
BaseRepresentation
bin1100101101100…
…0011100100000
310201022200220222
43023120130200
5102122042420
65142422212
71215113240
oct313303440
9121280828
1053315360
112810568a
1215a31968
13b079467
14711bb20
154a32225
hex32d8720

53315360 has 96 divisors (see below), whose sum is σ = 145297152. Its totient is φ = 18109440.

The previous prime is 53315359. The next prime is 53315363. The reversal of 53315360 is 6351335.

It is a super-2 number, since 2×533153602 = 5685055223859200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53315363) 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 15 ways as a sum of consecutive naturals, for example, 202589 + ... + 202851.

It is an arithmetic number, because the mean of its divisors is an integer number (1513512).

Almost surely, 253315360 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 53315360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72648576).

53315360 is an abundant number, since it is smaller than the sum of its proper divisors (91981792).

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

53315360 is a wasteful number, since it uses less digits than its factorization.

53315360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 26.

The square root of 53315360 is about 7301.7367796984. The cubic root of 53315360 is about 376.3721229161.

Adding to 53315360 its reverse (6351335), we get a palindrome (59666695).

The spelling of 53315360 in words is "fifty-three million, three hundred fifteen thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 181 224 263 280 362 526 560 724 905 1052 1120 1267 1315 1448 1810 1841 2104 2534 2630 2896 3620 3682 4208 5068 5260 5792 6335 7240 7364 8416 9205 10136 10520 12670 14480 14728 18410 20272 21040 25340 28960 29456 36820 40544 42080 47603 50680 58912 73640 95206 101360 147280 190412 202720 238015 294560 333221 380824 476030 666442 761648 952060 1332884 1523296 1666105 1904120 2665768 3332210 3808240 5331536 6664420 7616480 10663072 13328840 26657680 53315360