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13444816 = 2472111559
BaseRepresentation
bin110011010010…
…011011010000
3221022001211011
4303102123100
511420213231
61200100304
7222164500
oct63223320
927261734
1013444816
117653320
124604694
132a29818
141adda00
1512a89b1
hexcd26d0

13444816 has 60 divisors (see below), whose sum is σ = 33078240. Its totient is φ = 5234880.

The previous prime is 13444763. The next prime is 13444829. The reversal of 13444816 is 61844431.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7845 + ... + 9403.

It is an arithmetic number, because the mean of its divisors is an integer number (551304).

Almost surely, 213444816 is an apocalyptic number.

13444816 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 13444816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16539120).

13444816 is an abundant number, since it is smaller than the sum of its proper divisors (19633424).

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

13444816 is a wasteful number, since it uses less digits than its factorization.

13444816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1579 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 13444816 is about 3666.7173329833. The cubic root of 13444816 is about 237.7852734573.

The spelling of 13444816 in words is "thirteen million, four hundred forty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 392 539 616 784 1078 1232 1559 2156 3118 4312 6236 8624 10913 12472 17149 21826 24944 34298 43652 68596 76391 87304 120043 137192 152782 174608 240086 274384 305564 480172 611128 840301 960344 1222256 1680602 1920688 3361204 6722408 13444816