Search a number
-
+
444400495 = 57112953751
BaseRepresentation
bin11010011111010…
…000001101101111
31010222012212212121
4122133100031233
51402231303440
6112033013411
714004225160
oct3237201557
91128185777
10444400495
11208941740
121049b4267
13710b9096
1443041767
152903434a
hex1a7d036f

444400495 has 64 divisors (see below), whose sum is σ = 701706240. Its totient is φ = 262080000.

The previous prime is 444400487. The next prime is 444400501. The reversal of 444400495 is 594004444.

It is not a de Polignac number, because 444400495 - 23 = 444400487 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 444400495.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 591370 + ... + 592120.

It is an arithmetic number, because the mean of its divisors is an integer number (10964160).

Almost surely, 2444400495 is an apocalyptic number.

444400495 is a deficient number, since it is larger than the sum of its proper divisors (257305745).

444400495 is a wasteful number, since it uses less digits than its factorization.

444400495 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856.

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 444400495 is about 21080.8086894218. The cubic root of 444400495 is about 763.1176727622.

The spelling of 444400495 in words is "four hundred forty-four million, four hundred thousand, four hundred ninety-five".

Divisors: 1 5 7 11 29 35 53 55 77 145 203 265 319 371 385 583 751 1015 1537 1595 1855 2233 2915 3755 4081 5257 7685 8261 10759 11165 16907 20405 21779 26285 39803 41305 53795 57827 84535 108895 118349 152453 199015 239569 278621 289135 437833 591745 762265 1154287 1197845 1393105 1676983 2189165 3064831 5771435 8080009 8384915 12697157 15324155 40400045 63485785 88880099 444400495