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53506000 = 245331863
BaseRepresentation
bin1100110000011…
…0111111010000
310201200101102201
43030012333100
5102144143000
65150452544
71216536112
oct314067720
9121611381
1053506000
1128225939
1215b04154
13b115172
14716b3b2
154a6d96a
hex3306fd0

53506000 has 80 divisors (see below), whose sum is σ = 133705728. Its totient is φ = 20688000.

The previous prime is 53505997. The next prime is 53506001. The reversal of 53506000 is 60535.

53506000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53506001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61569 + ... + 62431.

Almost surely, 253506000 is an apocalyptic number.

53506000 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 53506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66852864).

53506000 is an abundant number, since it is smaller than the sum of its proper divisors (80199728).

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

53506000 is a wasteful number, since it uses less digits than its factorization.

53506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 53506000 is about 7314.7795592212. The cubic root of 53506000 is about 376.8201878525.

Adding to 53506000 its reverse (60535), we get a palindrome (53566535).

The spelling of 53506000 in words is "fifty-three million, five hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 863 1000 1240 1550 1726 2000 2480 3100 3452 3875 4315 6200 6904 7750 8630 12400 13808 15500 17260 21575 26753 31000 34520 43150 53506 62000 69040 86300 107012 107875 133765 172600 214024 215750 267530 345200 428048 431500 535060 668825 863000 1070120 1337650 1726000 2140240 2675300 3344125 5350600 6688250 10701200 13376500 26753000 53506000