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44161416 = 23331315727
BaseRepresentation
bin1010100001110…
…1100110001000
310002002122002000
42220131212020
542301131131
64214311000
71044236325
oct250354610
9102078060
1044161416
1122a23142
1212958460
1391c2a20
145c17b4c
153d24ce6
hex2a1d988

44161416 has 64 divisors (see below), whose sum is σ = 132115200. Its totient is φ = 13587264.

The previous prime is 44161409. The next prime is 44161421. The reversal of 44161416 is 61416144.

44161416 is a `hidden beast` number, since 4 + 41 + 614 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 44161416.

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 15 ways as a sum of consecutive naturals, for example, 5056 + ... + 10671.

It is an arithmetic number, because the mean of its divisors is an integer number (2064300).

Almost surely, 244161416 is an apocalyptic number.

It is an amenable number.

44161416 is an abundant number, since it is smaller than the sum of its proper divisors (87953784).

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

44161416 is a wasteful number, since it uses less digits than its factorization.

44161416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15755 (or 15745 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 44161416 is about 6645.4056309604. The cubic root of 44161416 is about 353.4660148036.

It can be divided in two parts, 4416 and 1416, that added together give a cube (5832 = 183).

The spelling of 44161416 in words is "forty-four million, one hundred sixty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 15727 31454 47181 62908 94362 125816 141543 188724 204451 283086 377448 408902 424629 566172 613353 817804 849258 1132344 1226706 1635608 1698516 1840059 2453412 3397032 3680118 4906824 5520177 7360236 11040354 14720472 22080708 44161416