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53457444 = 22321484929
BaseRepresentation
bin1100101111101…
…1001000100100
310201120220211100
43023323020210
5102141114234
65145440100
71216244415
oct313731044
9121526740
1053457444
11281a2407
1215aa0030
13b0c9031
14715780c
154a5e399
hex32fb224

53457444 has 18 divisors (see below), whose sum is σ = 135128630. Its totient is φ = 17819136.

The previous prime is 53457427. The next prime is 53457449. The reversal of 53457444 is 44475435.

53457444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 39841344 + 13616100 = 6312^2 + 3690^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1484929 = 53457444 / (5 + 3 + 4 + 5 + 7 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 53457399 and 53457408.

It is not an unprimeable number, because it can be changed into a prime (53457449) 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 5 ways as a sum of consecutive naturals, for example, 742429 + ... + 742500.

Almost surely, 253457444 is an apocalyptic number.

It is an amenable number.

53457444 is an abundant number, since it is smaller than the sum of its proper divisors (81671186).

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

53457444 is a wasteful number, since it uses less digits than its factorization.

53457444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484939 (or 1484934 counting only the distinct ones).

The product of its digits is 134400, while the sum is 36.

The square root of 53457444 is about 7311.4597721659. The cubic root of 53457444 is about 376.7061668794.

Subtracting from 53457444 its reverse (44475435), we obtain a square (8982009 = 29972).

The spelling of 53457444 in words is "fifty-three million, four hundred fifty-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1484929 2969858 4454787 5939716 8909574 13364361 17819148 26728722 53457444