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444859968 = 2637330997
BaseRepresentation
bin11010100001000…
…000011001000000
31011000002020011010
4122201000121000
51402341004333
6112050520520
714011150560
oct3241003100
91130066133
10444859968
11209125973
12104b96140
137121a267
1443120da0
15290c5563
hex1a840640

444859968 has 56 divisors (see below), whose sum is σ = 1345175872. Its totient is φ = 127102464.

The previous prime is 444859957. The next prime is 444859969. The reversal of 444859968 is 869958444.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×4448599682 = 395800782257922048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444859969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164155 + ... + 166842.

Almost surely, 2444859968 is an apocalyptic number.

444859968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

444859968 is an abundant number, since it is smaller than the sum of its proper divisors (900315904).

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

444859968 is a wasteful number, since it uses less digits than its factorization.

444859968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331019 (or 331009 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 57.

The square root of 444859968 is about 21091.7037718625. The cubic root of 444859968 is about 763.3805821561.

The spelling of 444859968 in words is "four hundred forty-four million, eight hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 330997 661994 992991 1323988 1985982 2316979 2647976 3971964 4633958 5295952 6950937 7943928 9267916 10591904 13901874 15887856 18535832 21183808 27803748 31775712 37071664 55607496 63551424 74143328 111214992 148286656 222429984 444859968