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44409216 = 2731091061
BaseRepresentation
bin1010100101101…
…0000110000000
310002120012222210
42221122012000
542332043331
64223502120
71046320635
oct251320600
9102505883
1044409216
1123082335
1212a57940
13927b757
145c8018c
153d73446
hex2a5a180

44409216 has 64 divisors (see below), whose sum is σ = 119156400. Its totient is φ = 14653440.

The previous prime is 44409199. The next prime is 44409217. The reversal of 44409216 is 61290444.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44409217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41326 + ... + 42386.

Almost surely, 244409216 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 44409216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59578200).

44409216 is an abundant number, since it is smaller than the sum of its proper divisors (74747184).

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

44409216 is a wasteful number, since it uses less digits than its factorization.

44409216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 44409216 is about 6664.0240095606. The cubic root of 44409216 is about 354.1259088015.

The spelling of 44409216 in words is "forty-four million, four hundred nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 327 384 436 654 872 1061 1308 1744 2122 2616 3183 3488 4244 5232 6366 6976 8488 10464 12732 13952 16976 20928 25464 33952 41856 50928 67904 101856 115649 135808 203712 231298 346947 407424 462596 693894 925192 1387788 1850384 2775576 3700768 5551152 7401536 11102304 14803072 22204608 44409216