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53318000 = 245353503
BaseRepresentation
bin1100101101100…
…1000101110000
310201022211112202
43023121011300
5102122134000
65142442332
71215124031
oct313310560
9121284482
1053318000
112810766a
1215a333a8
13b07a718
14711ca88
154a32dd5
hex32d9170

53318000 has 80 divisors (see below), whose sum is σ = 131616576. Its totient is φ = 20883200.

The previous prime is 53317981. The next prime is 53318017. The reversal of 53318000 is 81335.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 105749 + ... + 106251.

Almost surely, 253318000 is an apocalyptic number.

53318000 is a gapful number since it is divisible by the number (50) 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 53318000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65808288).

53318000 is an abundant number, since it is smaller than the sum of its proper divisors (78298576).

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

53318000 is a wasteful number, since it uses less digits than its factorization.

53318000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 53318000 is about 7301.9175563683. The cubic root of 53318000 is about 376.3783350471.

Adding to 53318000 its reverse (81335), we get a palindrome (53399335).

It can be divided in two parts, 5331 and 8000, that added together give a palindrome (13331).

The spelling of 53318000 in words is "fifty-three million, three hundred eighteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 503 530 848 1000 1006 1060 1325 2000 2012 2120 2515 2650 4024 4240 5030 5300 6625 8048 10060 10600 12575 13250 20120 21200 25150 26500 26659 40240 50300 53000 53318 62875 100600 106000 106636 125750 133295 201200 213272 251500 266590 426544 503000 533180 666475 1006000 1066360 1332950 2132720 2665900 3332375 5331800 6664750 10663600 13329500 26659000 53318000