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444428376 = 23376414127
BaseRepresentation
bin11010011111010…
…111000001011000
31010222021022010020
4122133113001120
51402233202001
6112033350440
714004402360
oct3237270130
91128238106
10444428376
11208960687
12104a08420
13710c8992
144304b9a0
152903c736
hex1a7d7058

444428376 has 64 divisors (see below), whose sum is σ = 1272084480. Its totient is φ = 126750720.

The previous prime is 444428363. The next prime is 444428377. The reversal of 444428376 is 673824444.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444428377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105625 + ... + 109751.

It is an arithmetic number, because the mean of its divisors is an integer number (19876320).

Almost surely, 2444428376 is an apocalyptic number.

It is an amenable number.

444428376 is an abundant number, since it is smaller than the sum of its proper divisors (827656104).

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

444428376 is a wasteful number, since it uses less digits than its factorization.

444428376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4784 (or 4780 counting only the distinct ones).

The product of its digits is 516096, while the sum is 42.

The square root of 444428376 is about 21081.4699677228. The cubic root of 444428376 is about 763.1336313694.

The spelling of 444428376 in words is "four hundred forty-four million, four hundred twenty-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 641 1282 1923 2564 3846 4127 4487 5128 7692 8254 8974 12381 13461 15384 16508 17948 24762 26922 28889 33016 35896 49524 53844 57778 86667 99048 107688 115556 173334 231112 346668 693336 2645407 5290814 7936221 10581628 15872442 18517849 21163256 31744884 37035698 55553547 63489768 74071396 111107094 148142792 222214188 444428376