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53081600 = 2952111329
BaseRepresentation
bin1100101001111…
…1011000000000
310200212211021012
43022133120000
5102042102400
65133420052
71213120565
oct312373000
9120784235
1053081600
1127a65aa0
121593a628
13acc6c40
14709a86c
1549d7d35
hex329f600

53081600 has 240 divisors, whose sum is σ = 159833520. Its totient is φ = 17203200.

The previous prime is 53081591. The next prime is 53081671. The reversal of 53081600 is 618035.

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 23 ways as a sum of consecutive naturals, for example, 1830386 + ... + 1830414.

It is an arithmetic number, because the mean of its divisors is an integer number (665973).

Almost surely, 253081600 is an apocalyptic number.

53081600 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 53081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79916760).

53081600 is an abundant number, since it is smaller than the sum of its proper divisors (106751920).

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

53081600 is a wasteful number, since it uses less digits than its factorization.

53081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 53081600 is about 7285.7120448176. The cubic root of 53081600 is about 375.8212519927.

Adding to 53081600 its reverse (618035), we get a palindrome (53699635).

The spelling of 53081600 in words is "fifty-three million, eighty-one thousand, six hundred".