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444741960 = 233513285091
BaseRepresentation
bin11010100000100…
…011100101001000
31010222212020021110
4122200203211020
51402323220320
6112044210320
714010146535
oct3240434510
91128766243
10444741960
11209055243
12104b399a0
13711a8630
14430cdd8c
15290a05e0
hex1a823948

444741960 has 64 divisors (see below), whose sum is σ = 1436863680. Its totient is φ = 109474560.

The previous prime is 444741959. The next prime is 444741967. The reversal of 444741960 is 69147444.

It is a hoax number, since the sum of its digits (39) 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 (39).

It is not an unprimeable number, because it can be changed into a prime (444741967) by changing a digit.

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, 140986 + ... + 144105.

It is an arithmetic number, because the mean of its divisors is an integer number (22450995).

Almost surely, 2444741960 is an apocalyptic number.

444741960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444741960 is an abundant number, since it is smaller than the sum of its proper divisors (992121720).

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

444741960 is a wasteful number, since it uses less digits than its factorization.

444741960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285118 (or 285114 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 444741960 is about 21088.9060882730. The cubic root of 444741960 is about 763.3130755331.

The spelling of 444741960 in words is "four hundred forty-four million, seven hundred forty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 285091 570182 855273 1140364 1425455 1710546 2280728 2850910 3421092 3706183 4276365 5701820 6842184 7412366 8552730 11118549 11403640 14824732 17105460 18530915 22237098 29649464 34210920 37061830 44474196 55592745 74123660 88948392 111185490 148247320 222370980 444741960