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53553324 = 2231119131163
BaseRepresentation
bin1100110001001…
…0100010101100
310201202210100110
43030102202230
5102202201244
65151500020
71220124066
oct314224254
9121683313
1053553324
1128258450
1215b27610
13b130876
147180736
154a7c9b9
hex33128ac

53553324 has 96 divisors (see below), whose sum is σ = 145474560. Its totient is φ = 15163200.

The previous prime is 53553293. The next prime is 53553329. The reversal of 53553324 is 42335535.

It is a super-2 number, since 2×535533242 = 5735917022897952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53553291 and 53553300.

It is not an unprimeable number, because it can be changed into a prime (53553329) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 328467 + ... + 328629.

It is an arithmetic number, because the mean of its divisors is an integer number (1515360).

Almost surely, 253553324 is an apocalyptic number.

53553324 is the 3912-nd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53553324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72737280).

53553324 is an abundant number, since it is smaller than the sum of its proper divisors (91921236).

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

53553324 is a wasteful number, since it uses less digits than its factorization.

53553324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 329 counting only the distinct ones).

The product of its digits is 27000, while the sum is 30.

The square root of 53553324 is about 7318.0136649230. The cubic root of 53553324 is about 376.9312494389.

Adding to 53553324 its reverse (42335535), we get a palindrome (95888859).

The spelling of 53553324 in words is "fifty-three million, five hundred fifty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 131 132 163 209 228 262 326 393 418 489 524 627 652 786 836 978 1254 1441 1572 1793 1956 2489 2508 2882 3097 3586 4323 4978 5379 5764 6194 7172 7467 8646 9291 9956 10758 12388 14934 17292 18582 21353 21516 27379 29868 34067 37164 42706 54758 64059 68134 82137 85412 102201 109516 128118 136268 164274 204402 234883 256236 328548 405707 408804 469766 704649 811414 939532 1217121 1409298 1622828 2434242 2818596 4462777 4868484 8925554 13388331 17851108 26776662 53553324