Search a number
-
+
444744381 = 31976110253
BaseRepresentation
bin11010100000100…
…100001010111101
31010222212100121010
4122200210022331
51402323310011
6112044225433
714010156564
oct3240441275
91128770533
10444744381
11209057044
12104b3b279
13711a9773
14430d0bdb
15290a11a6
hex1a8242bd

444744381 has 16 divisors (see below), whose sum is σ = 625083840. Its totient is φ = 280494720.

The previous prime is 444744379. The next prime is 444744427. The reversal of 444744381 is 183447444.

It is a happy number.

It is not a de Polignac number, because 444744381 - 21 = 444744379 is a prime.

It is a super-2 number, since 2×4447443812 = 395595128862146322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444744341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38251 + ... + 48503.

It is an arithmetic number, because the mean of its divisors is an integer number (39067740).

Almost surely, 2444744381 is an apocalyptic number.

It is an amenable number.

444744381 is a deficient number, since it is larger than the sum of its proper divisors (180339459).

444744381 is a wasteful number, since it uses less digits than its factorization.

444744381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11036.

The product of its digits is 172032, while the sum is 39.

The square root of 444744381 is about 21088.9634880427. The cubic root of 444744381 is about 763.3144605891.

It can be divided in two parts, 4447 and 44381, that added together give a triangular number (48828 = T312).

The spelling of 444744381 in words is "four hundred forty-four million, seven hundred forty-four thousand, three hundred eighty-one".

Divisors: 1 3 19 57 761 2283 10253 14459 30759 43377 194807 584421 7802533 23407599 148248127 444744381