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272093472 = 2533726427
BaseRepresentation
bin10000001101111…
…101000100100000
3200221222210002000
4100031331010200
51024123442342
642555524000
76512520300
oct2015750440
9627883060
10272093472
1112a653942
1277159600
13444a9971
14281cb600
1518d4a44c
hex1037d120

272093472 has 144 divisors (see below), whose sum is σ = 923317920. Its totient is φ = 77728896.

The previous prime is 272093461. The next prime is 272093527. The reversal of 272093472 is 274390272.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 39123 + ... + 45549.

It is an arithmetic number, because the mean of its divisors is an integer number (6411930).

Almost surely, 2272093472 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 272093472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461658960).

272093472 is an abundant number, since it is smaller than the sum of its proper divisors (651224448).

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

272093472 is a wasteful number, since it uses less digits than its factorization.

272093472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6460 (or 6439 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 272093472 is about 16495.2560452998. The cubic root of 272093472 is about 647.9965706266.

The spelling of 272093472 in words is "two hundred seventy-two million, ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 6427 7056 10584 12854 14112 19281 21168 25708 38562 42336 44989 51416 57843 77124 89978 102832 115686 134967 154248 173529 179956 205664 231372 269934 308496 314923 347058 359912 404901 462744 539868 616992 629846 694116 719824 809802 925488 944769 1079736 1214703 1259692 1388232 1439648 1619604 1850976 1889538 2159472 2429406 2519384 2776464 2834307 3239208 3779076 4318944 4858812 5038768 5552928 5668614 6478416 7558152 8502921 9717624 10077536 11337228 12956832 15116304 17005842 19435248 22674456 30232608 34011684 38870496 45348912 68023368 90697824 136046736 272093472