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444997056 = 2637331099
BaseRepresentation
bin11010100001100…
…001110111000000
31011000100012012110
4122201201313000
51402404401211
6112053455320
714012261340
oct3241416700
91130305173
10444997056
11209209969
12105041540
137126778a
1443158d20
1529100ea6
hex1a861dc0

444997056 has 56 divisors (see below), whose sum is σ = 1345590400. Its totient is φ = 127141632.

The previous prime is 444996997. The next prime is 444997061. The reversal of 444997056 is 650799444.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 444996996 and 444997014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164206 + ... + 166893.

It is an arithmetic number, because the mean of its divisors is an integer number (24028400).

Almost surely, 2444997056 is an apocalyptic number.

It is an amenable number.

444997056 is an abundant number, since it is smaller than the sum of its proper divisors (900593344).

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

444997056 is a wasteful number, since it uses less digits than its factorization.

444997056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331121 (or 331111 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 444997056 is about 21094.9533301214. The cubic root of 444997056 is about 763.4589885289.

The spelling of 444997056 in words is "four hundred forty-four million, nine hundred ninety-seven thousand, fifty-six".

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 331099 662198 993297 1324396 1986594 2317693 2648792 3973188 4635386 5297584 6953079 7946376 9270772 10595168 13906158 15892752 18541544 21190336 27812316 31785504 37083088 55624632 63571008 74166176 111249264 148332352 222498528 444997056