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10272444 = 22371323409
BaseRepresentation
bin100111001011…
…111010111100
3201022220010220
4213023322330
510112204234
61004101340
7153212550
oct47137274
921286126
1010272444
115886926
123534850
132188890
141515860
15d7da49
hex9cbebc

10272444 has 96 divisors (see below), whose sum is σ = 30858240. Its totient is φ = 2585088.

The previous prime is 10272413. The next prime is 10272473. The reversal of 10272444 is 44427201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24912 + ... + 25320.

It is an arithmetic number, because the mean of its divisors is an integer number (321440).

Almost surely, 210272444 is an apocalyptic number.

10272444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10272444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15429120).

10272444 is an abundant number, since it is smaller than the sum of its proper divisors (20585796).

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

10272444 is a wasteful number, since it uses less digits than its factorization.

10272444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 10272444 is about 3205.0653659481. The cubic root of 10272444 is about 217.3825075559.

Adding to 10272444 its reverse (44427201), we get a palindrome (54699645).

The spelling of 10272444 in words is "ten million, two hundred seventy-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 23 26 28 39 42 46 52 69 78 84 91 92 138 156 161 182 273 276 299 322 364 409 483 546 598 644 818 897 966 1092 1196 1227 1636 1794 1932 2093 2454 2863 3588 4186 4908 5317 5726 6279 8372 8589 9407 10634 11452 12558 15951 17178 18814 21268 25116 28221 31902 34356 37219 37628 56442 63804 65849 74438 111657 112884 122291 131698 148876 197547 223314 244582 263396 366873 395094 446628 489164 733746 790188 856037 1467492 1712074 2568111 3424148 5136222 10272444