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53153820 = 2235510937
BaseRepresentation
bin1100101011000…
…1000000011100
310201000111100000
43022301000130
5102101410240
65135134300
71213541256
oct312610034
9121014300
1053153820
1128005285
1215974390
13b020a85
1470b8cd6
1549ee430
hex32b101c

53153820 has 72 divisors (see below), whose sum is σ = 167220144. Its totient is φ = 14173056.

The previous prime is 53153801. The next prime is 53153827. The reversal of 53153820 is 2835135.

53153820 is a `hidden beast` number, since 531 + 53 + 82 + 0 = 666.

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 (53153827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609 + ... + 10328.

It is an arithmetic number, because the mean of its divisors is an integer number (2322502).

Almost surely, 253153820 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 53153820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83610072).

53153820 is an abundant number, since it is smaller than the sum of its proper divisors (114066324).

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

53153820 is a wasteful number, since it uses less digits than its factorization.

53153820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10961 (or 10947 counting only the distinct ones).

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

The square root of 53153820 is about 7290.6666361863. Note that the first 4 decimals coincide. The cubic root of 53153820 is about 375.9916155517.

Adding to 53153820 its reverse (2835135), we get a palindrome (55988955).

The spelling of 53153820 in words is "fifty-three million, one hundred fifty-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 10937 21874 32811 43748 54685 65622 98433 109370 131244 164055 196866 218740 295299 328110 393732 492165 590598 656220 885897 984330 1181196 1476495 1771794 1968660 2657691 2952990 3543588 4429485 5315382 5905980 8858970 10630764 13288455 17717940 26576910 53153820