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53449344 = 2732134383
BaseRepresentation
bin1100101111100…
…1001010000000
310201120111201100
43023321022000
5102140334334
65145334400
71216211664
oct313711200
9121514640
1053449344
1128197313
1215a97400
13b0c5440
1471548a4
154a5bc99
hex32f9280

53449344 has 192 divisors, whose sum is σ = 171531360. Its totient is φ = 15869952.

The previous prime is 53449321. The next prime is 53449351. The reversal of 53449344 is 44394435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (103680) is a multiple of the sum of its prime divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 53449299 and 53449308.

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, 643927 + ... + 644009.

Almost surely, 253449344 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 53449344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85765680).

53449344 is an abundant number, since it is smaller than the sum of its proper divisors (118082016).

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

53449344 is a wasteful number, since it uses less digits than its factorization.

53449344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 53449344 is about 7310.9058262297. The cubic root of 53449344 is about 376.6871394447.

The spelling of 53449344 in words is "fifty-three million, four hundred forty-nine thousand, three hundred forty-four".