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444912972 = 22376418263
BaseRepresentation
bin11010100001001…
…101010101001100
31011000011220212020
4122201031111030
51402344203342
6112052010140
714011461240
oct3241152514
91130156766
10444912972
11209161779
12105000950
137123841a
1443136420
15290d60ec
hex1a84d54c

444912972 has 48 divisors (see below), whose sum is σ = 1188429312. Its totient is φ = 126904320.

The previous prime is 444912971. The next prime is 444912997. The reversal of 444912972 is 279219444.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (444912971) 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, 49713 + ... + 57975.

It is an arithmetic number, because the mean of its divisors is an integer number (24758944).

Almost surely, 2444912972 is an apocalyptic number.

444912972 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

444912972 is an abundant number, since it is smaller than the sum of its proper divisors (743516340).

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

444912972 is a wasteful number, since it uses less digits than its factorization.

444912972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8918 (or 8916 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 444912972 is about 21092.9602474380. The cubic root of 444912972 is about 763.4108992749.

The spelling of 444912972 in words is "four hundred forty-four million, nine hundred twelve thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 641 1282 1923 2564 3846 4487 7692 8263 8974 13461 16526 17948 24789 26922 33052 49578 53844 57841 99156 115682 173523 231364 347046 694092 5296583 10593166 15889749 21186332 31779498 37076081 63558996 74152162 111228243 148304324 222456486 444912972