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10393488 = 243372491
BaseRepresentation
bin100111101001…
…011110010000
3201120001012000
4213221132100
510130042423
61010434000
7154225500
oct47513620
921501160
1010393488
115959866
123592900
1321cb9c1
141547a00
15da4843
hex9e9790

10393488 has 120 divisors (see below), whose sum is σ = 34774560. Its totient is φ = 2963520.

The previous prime is 10393483. The next prime is 10393507. The reversal of 10393488 is 88439301.

10393488 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103934882 = 216049185612288, which contains 22 as substring.

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

10393488 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (10393483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20923 + ... + 21413.

It is an arithmetic number, because the mean of its divisors is an integer number (289788).

Almost surely, 210393488 is an apocalyptic number.

10393488 is a gapful number since it is divisible by the number (18) 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 10393488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17387280).

10393488 is an abundant number, since it is smaller than the sum of its proper divisors (24381072).

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

10393488 is a wasteful number, since it uses less digits than its factorization.

10393488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 10393488 is about 3223.8932984824. The cubic root of 10393488 is about 218.2330084432.

The spelling of 10393488 in words is "ten million, three hundred ninety-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 491 504 588 756 784 882 982 1008 1176 1323 1473 1512 1764 1964 2352 2646 2946 3024 3437 3528 3928 4419 5292 5892 6874 7056 7856 8838 10311 10584 11784 13257 13748 17676 20622 21168 23568 24059 26514 27496 30933 35352 41244 48118 53028 54992 61866 70704 72177 82488 92799 96236 106056 123732 144354 164976 185598 192472 212112 216531 247464 288708 371196 384944 433062 494928 577416 649593 742392 866124 1154832 1299186 1484784 1732248 2598372 3464496 5196744 10393488