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552679248 = 243111767919
BaseRepresentation
bin100000111100010…
…011011101010000
31102111222000101210
4200330103131100
52112441213443
6130501500120
716460460522
oct4074233520
91374860353
10552679248
11263a78110
12135111640
138a66ab54
1453589a12
15337c1c33
hex20f13750

552679248 has 160 divisors (see below), whose sum is σ = 1675607040. Its totient is φ = 155105280.

The previous prime is 552679247. The next prime is 552679291. The reversal of 552679248 is 842976255.

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

It is a junction number, because it is equal to n+sod(n) for n = 552679197 and 552679206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552679241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 600933 + ... + 601851.

It is an arithmetic number, because the mean of its divisors is an integer number (10472544).

Almost surely, 2552679248 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 552679248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837803520).

552679248 is an abundant number, since it is smaller than the sum of its proper divisors (1122927792).

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

552679248 is a wasteful number, since it uses less digits than its factorization.

552679248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1019 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 552679248 is about 23509.1311621676. The cubic root of 552679248 is about 820.6495190925.

The spelling of 552679248 in words is "five hundred fifty-two million, six hundred seventy-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 67 68 88 102 132 134 136 176 187 201 204 264 268 272 374 402 408 528 536 561 737 748 804 816 919 1072 1122 1139 1474 1496 1608 1838 2211 2244 2278 2757 2948 2992 3216 3417 3676 4422 4488 4556 5514 5896 6834 7352 8844 8976 9112 10109 11028 11792 12529 13668 14704 15623 17688 18224 20218 22056 25058 27336 30327 31246 35376 37587 40436 44112 46869 50116 54672 60654 61573 62492 75174 80872 93738 100232 121308 123146 124984 150348 161744 171853 184719 187476 200464 242616 246292 249968 300696 343706 369438 374952 485232 492584 515559 601392 677303 687412 738876 749904 985168 1031118 1046741 1354606 1374824 1477752 2031909 2062236 2093482 2709212 2749648 2955504 3140223 4063818 4124472 4186964 5418424 6280446 8127636 8248944 8373928 10836848 11514151 12560892 16255272 16747856 23028302 25121784 32510544 34542453 46056604 50243568 69084906 92113208 138169812 184226416 276339624 552679248