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53541144 = 2332799413
BaseRepresentation
bin1100110000111…
…1100100011000
310201202011122100
43030033210120
5102201304034
65151323400
71220043426
oct314174430
9121664570
1053541144
112824a288
1215b20560
13b128167
14717a116
154a79099
hex330f918

53541144 has 48 divisors (see below), whose sum is σ = 146858400. Its totient is φ = 17619264.

The previous prime is 53541139. The next prime is 53541157. The reversal of 53541144 is 44114535.

53541144 = T266 + T267 + ... + T697.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 982 + ... + 10394.

It is an arithmetic number, because the mean of its divisors is an integer number (3059550).

Almost surely, 253541144 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 53541144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73429200).

53541144 is an abundant number, since it is smaller than the sum of its proper divisors (93317256).

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

53541144 is a wasteful number, since it uses less digits than its factorization.

53541144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9504 (or 9497 counting only the distinct ones).

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

The square root of 53541144 is about 7317.1814245651. The cubic root of 53541144 is about 376.9026712519.

Adding to 53541144 its reverse (44114535), we get a palindrome (97655679).

The spelling of 53541144 in words is "fifty-three million, five hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 948 1422 1896 2844 5688 9413 18826 28239 37652 56478 75304 84717 112956 169434 225912 338868 677736 743627 1487254 2230881 2974508 4461762 5949016 6692643 8923524 13385286 17847048 26770572 53541144