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10047444 = 22311103739
BaseRepresentation
bin100110010100…
…111111010100
3200220110111120
4212110333110
510033004234
6555203540
7151254561
oct46247724
920813446
1010047444
115742880
1234465b0
13210a344
141497868
15d37049
hex994fd4

10047444 has 48 divisors (see below), whose sum is σ = 25858560. Its totient is φ = 3011040.

The previous prime is 10047437. The next prime is 10047463. The reversal of 10047444 is 44474001.

It is a super-2 number, since 2×100474442 = 201902261866272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13227 + ... + 13965.

It is an arithmetic number, because the mean of its divisors is an integer number (538720).

Almost surely, 210047444 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 10047444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12929280).

10047444 is an abundant number, since it is smaller than the sum of its proper divisors (15811116).

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

10047444 is a wasteful number, since it uses less digits than its factorization.

10047444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 858 counting only the distinct ones).

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

The square root of 10047444 is about 3169.7703386839. The cubic root of 10047444 is about 215.7836482517.

It can be divided in two parts, 1004 and 7444, that added together give a palindrome (8448).

The spelling of 10047444 in words is "ten million, forty-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 132 206 309 412 618 739 1133 1236 1478 2217 2266 2956 3399 4434 4532 6798 8129 8868 13596 16258 24387 32516 48774 76117 97548 152234 228351 304468 456702 837287 913404 1674574 2511861 3349148 5023722 10047444