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553538928 = 243471311873
BaseRepresentation
bin100000111111100…
…101010101110000
31102120120200122210
4200333211111300
52113201221203
6130532132120
716501001055
oct4077452560
91376520583
10553538928
11264504a98
12135467040
138a8ac237
145373102c
15338e1803
hex20fe5570

553538928 has 80 divisors (see below), whose sum is σ = 1472334336. Its totient is φ = 179112960.

The previous prime is 553538917. The next prime is 553538963. The reversal of 553538928 is 829835355.

553538928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5535389282 = 612810689622778368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294600 + ... + 296472.

Almost surely, 2553538928 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 553538928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736167168).

553538928 is an abundant number, since it is smaller than the sum of its proper divisors (918795408).

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

553538928 is a wasteful number, since it uses less digits than its factorization.

553538928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2056 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 48.

The square root of 553538928 is about 23527.4080170341. The cubic root of 553538928 is about 821.0747992181.

The spelling of 553538928 in words is "five hundred fifty-three million, five hundred thirty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 131 141 188 262 282 376 393 524 564 752 786 1048 1128 1572 1873 2096 2256 3144 3746 5619 6157 6288 7492 11238 12314 14984 18471 22476 24628 29968 36942 44952 49256 73884 88031 89904 98512 147768 176062 245363 264093 295536 352124 490726 528186 704248 736089 981452 1056372 1408496 1472178 1962904 2112744 2944356 3925808 4225488 5888712 11532061 11777424 23064122 34596183 46128244 69192366 92256488 138384732 184512976 276769464 553538928