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53434240 = 275292879
BaseRepresentation
bin1100101111010…
…1011110000000
310201112201222221
43023311132000
5102134343430
65145140424
71216116646
oct313653600
9121481887
1053434240
1128186a32
1215a8a714
13b0bb5c2
14714d196
154a5757a
hex32f5780

53434240 has 64 divisors (see below), whose sum is σ = 132192000. Its totient is φ = 20629504.

The previous prime is 53434223. The next prime is 53434259. The reversal of 53434240 is 4243435.

53434240 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 (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 17121 + ... + 19999.

It is an arithmetic number, because the mean of its divisors is an integer number (2065500).

Almost surely, 253434240 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 53434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66096000).

53434240 is an abundant number, since it is smaller than the sum of its proper divisors (78757760).

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

53434240 is a wasteful number, since it uses less digits than its factorization.

53434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 53434240 is about 7309.8727759107. The cubic root of 53434240 is about 376.6516540166.

Adding to 53434240 its reverse (4243435), we get a palindrome (57677675).

It can be divided in two parts, 53 and 434240, that multiplied together give a triangular number (23014720 = T6784).

The spelling of 53434240 in words is "fifty-three million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1160 1856 2320 2879 3712 4640 5758 9280 11516 14395 18560 23032 28790 46064 57580 83491 92128 115160 166982 184256 230320 333964 368512 417455 460640 667928 834910 921280 1335856 1669820 1842560 2671712 3339640 5343424 6679280 10686848 13358560 26717120 53434240