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442056224 = 25711031889
BaseRepresentation
bin11010010110010…
…011111000100000
31010210210210010202
4122112103320200
51401131244344
6111510444332
713645262441
oct3226237040
91123723122
10442056224
11207590425
121040636a8
137077803c
14429d12c8
1528c1e94e
hex1a593e20

442056224 has 48 divisors (see below), whose sum is σ = 891596160. Its totient is φ = 215685120.

The previous prime is 442056133. The next prime is 442056227. The reversal of 442056224 is 422650244.

It is not an unprimeable number, because it can be changed into a prime (442056227) 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 7 ways as a sum of consecutive naturals, for example, 233072 + ... + 234960.

It is an arithmetic number, because the mean of its divisors is an integer number (18574920).

Almost surely, 2442056224 is an apocalyptic number.

It is an amenable number.

442056224 is an abundant number, since it is smaller than the sum of its proper divisors (449539936).

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

442056224 is a wasteful number, since it uses less digits than its factorization.

442056224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 442056224 is about 21025.1331505891. The cubic root of 442056224 is about 761.7734576843.

The spelling of 442056224 in words is "four hundred forty-two million, fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 71 103 142 206 284 412 568 824 1136 1648 1889 2272 3296 3778 7313 7556 14626 15112 29252 30224 58504 60448 117008 134119 194567 234016 268238 389134 536476 778268 1072952 1556536 2145904 3113072 4291808 6226144 13814257 27628514 55257028 110514056 221028112 442056224