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10447424 = 261329433
BaseRepresentation
bin100111110110…
…101001000000
3201122210011122
4213312221000
510133304144
61011531412
7154541651
oct47665100
921583148
1010447424
115996339
1235b9b68
13221a410
14155d528
15db57ee
hex9f6a40

10447424 has 56 divisors (see below), whose sum is σ = 23149560. Its totient is φ = 4644864.

The previous prime is 10447421. The next prime is 10447427. The reversal of 10447424 is 42474401.

It is an interprime number because it is at equal distance from previous prime (10447421) and next prime (10447427).

It can be written as a sum of positive squares in 4 ways, for example, as 1600 + 10445824 = 40^2 + 3232^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 10447393 and 10447402.

It is not an unprimeable number, because it can be changed into a prime (10447421) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 23912 + ... + 24344.

It is an arithmetic number, because the mean of its divisors is an integer number (413385).

Almost surely, 210447424 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 10447424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11574780).

10447424 is an abundant number, since it is smaller than the sum of its proper divisors (12702136).

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

10447424 is a wasteful number, since it uses less digits than its factorization.

10447424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 26.

The square root of 10447424 is about 3232.2475152748. The cubic root of 10447424 is about 218.6098570116.

It can be divided in two parts, 1044 and 7424, that multiplied together give a square (7750656 = 27842).

The spelling of 10447424 in words is "ten million, four hundred forty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 208 232 377 416 433 464 754 832 866 928 1508 1732 1856 3016 3464 5629 6032 6928 11258 12064 12557 13856 22516 24128 25114 27712 45032 50228 90064 100456 163241 180128 200912 326482 360256 401824 652964 803648 1305928 2611856 5223712 10447424