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44541216 = 2532295333
BaseRepresentation
bin1010100111101…
…0010100100000
310002210221001200
42221322110200
542400304331
64230401200
71050410526
oct251722440
9102727050
1044541216
1123162525
1212b00200
1392c6865
145cb6316
153d9c5e6
hex2a7a520

44541216 has 72 divisors (see below), whose sum is σ = 131056380. Its totient is φ = 14332416.

The previous prime is 44541209. The next prime is 44541221. The reversal of 44541216 is 61214544.

44541216 is a `hidden beast` number, since 445 + 4 + 1 + 216 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38489616 + 6051600 = 6204^2 + 2460^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 44541216.

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, 5686 + ... + 11018.

Almost surely, 244541216 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 44541216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65528190).

44541216 is an abundant number, since it is smaller than the sum of its proper divisors (86515164).

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

44541216 is a wasteful number, since it uses less digits than its factorization.

44541216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5378 (or 5367 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 44541216 is about 6673.9205868814. The cubic root of 44541216 is about 354.4764245023.

The spelling of 44541216 in words is "forty-four million, five hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 5333 8352 10666 15999 21332 31998 42664 47997 63996 85328 95994 127992 154657 170656 191988 255984 309314 383976 463971 511968 618628 767952 927942 1237256 1391913 1535904 1855884 2474512 2783826 3711768 4949024 5567652 7423536 11135304 14847072 22270608 44541216