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10441856 = 2729297
BaseRepresentation
bin100111110101…
…010010000000
3201122111112102
4213311102000
510133114411
61011445532
7154516505
oct47652200
921574472
1010441856
115992137
1235b68a8
132217a19
14155b4ac
15db3d3b
hex9f5480

10441856 has 48 divisors (see below), whose sum is σ = 21766290. Its totient is φ = 4988928.

The previous prime is 10441853. The next prime is 10441861. The reversal of 10441856 is 65814401.

It can be written as a sum of positive squares in 3 ways, for example, as 8904256 + 1537600 = 2984^2 + 1240^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10441853) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107600 + ... + 107696.

Almost surely, 210441856 is an apocalyptic number.

10441856 is a gapful number since it is divisible by the number (16) 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 10441856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10883145).

10441856 is an abundant number, since it is smaller than the sum of its proper divisors (11324434).

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

10441856 is an frugal number, since it uses more digits than its factorization.

10441856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 10441856 is about 3231.3860803067. The cubic root of 10441856 is about 218.5710137526.

It can be divided in two parts, 1044 and 1856, that multiplied together give a square (1937664 = 13922).

The spelling of 10441856 in words is "ten million, four hundred forty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 97 116 128 194 232 388 464 776 841 928 1552 1682 1856 2813 3104 3364 3712 5626 6208 6728 11252 12416 13456 22504 26912 45008 53824 81577 90016 107648 163154 180032 326308 360064 652616 1305232 2610464 5220928 10441856