Search a number
-
+
444668544 = 2732385997
BaseRepresentation
bin11010100000010…
…001101010000000
31010222201111120100
4122200101222000
51402313343134
6112042442400
714006422515
oct3240215200
91128644510
10444668544
11209005071
12104b03400
13711810a8
14430b130c
1529088999
hex1a811a80

444668544 has 48 divisors (see below), whose sum is σ = 1279583370. Its totient is φ = 148222464.

The previous prime is 444668537. The next prime is 444668611. The reversal of 444668544 is 445866444.

444668544 is a `hidden beast` number, since 4 + 4 + 46 + 68 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 428986944 + 15681600 = 20712^2 + 3960^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4446685442 = 395460228046159872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444668544.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 191847 + ... + 194150.

Almost surely, 2444668544 is an apocalyptic number.

It is an amenable number.

444668544 is an abundant number, since it is smaller than the sum of its proper divisors (834914826).

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

444668544 is a wasteful number, since it uses less digits than its factorization.

444668544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386017 (or 386002 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The square root of 444668544 is about 21087.1653856084. The cubic root of 444668544 is about 763.2710717933.

The spelling of 444668544 in words is "four hundred forty-four million, six hundred sixty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 385997 771994 1157991 1543988 2315982 3087976 3473973 4631964 6175952 6947946 9263928 12351904 13895892 18527856 24703808 27791784 37055712 49407616 55583568 74111424 111167136 148222848 222334272 444668544