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53514144 = 2532185813
BaseRepresentation
bin1100110000100…
…0111110100000
310201200210121100
43030020332200
5102144423034
65150554400
71216601625
oct314107640
9121623540
1053514144
1128230a72
1215b08a00
13b118a98
14717034c
154a71099
hex3308fa0

53514144 has 36 divisors (see below), whose sum is σ = 152181666. Its totient is φ = 17837952.

The previous prime is 53514137. The next prime is 53514161. The reversal of 53514144 is 44141535.

It is a happy number.

53514144 is a `hidden beast` number, since 5 + 3 + 514 + 144 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43401744 + 10112400 = 6588^2 + 3180^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 92619 + ... + 93194.

Almost surely, 253514144 is an apocalyptic number.

It is an amenable number.

53514144 is an abundant number, since it is smaller than the sum of its proper divisors (98667522).

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

53514144 is a wasteful number, since it uses less digits than its factorization.

53514144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185829 (or 185818 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 53514144 is about 7315.3362192041. The cubic root of 53514144 is about 376.8393051348.

Adding to 53514144 its reverse (44141535), we get a palindrome (97655679).

The spelling of 53514144 in words is "fifty-three million, five hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 185813 371626 557439 743252 1114878 1486504 1672317 2229756 2973008 3344634 4459512 5946016 6689268 8919024 13378536 17838048 26757072 53514144