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53217344 = 2617411193
BaseRepresentation
bin1100101100000…
…0100001000000
310201010201110202
43023000201000
5102110423334
65140344332
71214224415
oct313004100
9121121422
1053217344
1128048a84
12159a50a8
13b04396b
1470d410c
154a1317e
hex32c0840

53217344 has 56 divisors (see below), whose sum is σ = 114638328. Its totient is φ = 24412160.

The previous prime is 53217343. The next prime is 53217371. The reversal of 53217344 is 44371235.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3655744 + 49561600 = 1912^2 + 7040^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53217343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44012 + ... + 45204.

It is an arithmetic number, because the mean of its divisors is an integer number (2047113).

Almost surely, 253217344 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 53217344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57319164).

53217344 is an abundant number, since it is smaller than the sum of its proper divisors (61420984).

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

53217344 is a wasteful number, since it uses less digits than its factorization.

53217344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1253 counting only the distinct ones).

The product of its digits is 10080, while the sum is 29.

The square root of 53217344 is about 7295.0218642578. The cubic root of 53217344 is about 376.1413381425.

Adding to 53217344 its reverse (44371235), we get a palindrome (97588579).

The spelling of 53217344 in words is "fifty-three million, two hundred seventeen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 136 164 272 328 544 656 697 1088 1193 1312 1394 2386 2624 2788 4772 5576 9544 11152 19088 20281 22304 38176 40562 44608 48913 76352 81124 97826 162248 195652 324496 391304 648992 782608 831521 1297984 1565216 1663042 3130432 3326084 6652168 13304336 26608672 53217344