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53516000 = 255317787
BaseRepresentation
bin1100110000100…
…1011011100000
310201200220011002
43030021123200
5102200003000
65151011132
71216610216
oct314113340
9121626132
1053516000
11282323aa
1215b09aa8
13b119895
147170cb6
154a718d5
hex33096e0

53516000 has 96 divisors (see below), whose sum is σ = 139400352. Its totient is φ = 20121600.

The previous prime is 53515999. The next prime is 53516011. The reversal of 53516000 is 61535.

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 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, 67607 + ... + 68393.

It is an arithmetic number, because the mean of its divisors is an integer number (1452087).

Almost surely, 253516000 is an apocalyptic number.

53516000 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 53516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69700176).

53516000 is an abundant number, since it is smaller than the sum of its proper divisors (85884352).

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

53516000 is a wasteful number, since it uses less digits than its factorization.

53516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 53516000 is about 7315.4630748846. The cubic root of 53516000 is about 376.8436616508.

Adding to 53516000 its reverse (61535), we get a palindrome (53577535).

The spelling of 53516000 in words is "fifty-three million, five hundred sixteen thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 680 787 800 850 1000 1360 1574 1700 2000 2125 2720 3148 3400 3935 4000 4250 6296 6800 7870 8500 12592 13379 13600 15740 17000 19675 25184 26758 31480 34000 39350 53516 62960 66895 68000 78700 98375 107032 125920 133790 157400 196750 214064 267580 314800 334475 393500 428128 535160 629600 668950 787000 1070320 1337900 1574000 1672375 2140640 2675800 3148000 3344750 5351600 6689500 10703200 13379000 26758000 53516000