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552728448 = 273489599
BaseRepresentation
bin100000111100011…
…111011110000000
31102112001111220000
4200330133132000
52112444302243
6130502520000
716461054126
oct4074373600
91375044800
10552728448
11264001078
12135136000
138a68736c
145359d916
15337d15d3
hex20f1f780

552728448 has 160 divisors (see below), whose sum is σ = 1666170000. Its totient is φ = 181868544.

The previous prime is 552728447. The next prime is 552728471. The reversal of 552728448 is 844827255.

552728448 is a `hidden beast` number, since 5 + 527 + 2 + 84 + 48 = 666.

It is a hoax number, since the sum of its digits (45) 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 (552728443) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 922453 + ... + 923051.

Almost surely, 2552728448 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 552728448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833085000).

552728448 is an abundant number, since it is smaller than the sum of its proper divisors (1113441552).

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

552728448 is an equidigital number, since it uses as much as digits as its factorization.

552728448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 693 counting only the distinct ones).

The product of its digits is 716800, while the sum is 45.

The square root of 552728448 is about 23510.1775408013. The cubic root of 552728448 is about 820.6738700208.

It can be divided in two parts, 552 and 728448, that added together give a cube (729000 = 903).

The spelling of 552728448 in words is "five hundred fifty-two million, seven hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 89 96 108 128 144 162 178 192 216 267 288 324 356 384 432 534 576 599 648 712 801 864 1068 1152 1198 1296 1424 1602 1728 1797 2136 2396 2403 2592 2848 3204 3456 3594 4272 4792 4806 5184 5391 5696 6408 7188 7209 8544 9584 9612 10368 10782 11392 12816 14376 14418 16173 17088 19168 19224 21564 25632 28752 28836 32346 34176 38336 38448 43128 48519 51264 53311 57504 57672 64692 76672 76896 86256 97038 102528 106622 115008 115344 129384 153792 159933 172512 194076 213244 230016 230688 258768 307584 319866 345024 388152 426488 461376 479799 517536 639732 690048 776304 852976 922752 959598 1035072 1279464 1439397 1552608 1705952 1919196 2070144 2558928 2878794 3105216 3411904 3838392 4318191 5117856 5757588 6210432 6823808 7676784 8636382 10235712 11515176 15353568 17272764 20471424 23030352 30707136 34545528 46060704 61414272 69091056 92121408 138182112 184242816 276364224 552728448