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442014027 = 371329311801
BaseRepresentation
bin11010010110001…
…001100101001011
31010210201122020220
4122112021211023
51401123422102
6111505521123
713645025430
oct3226114513
91123648226
10442014027
11207561754
121040431a3
1370761a80
14429bdb87
1528c121bc
hex1a58994b

442014027 has 64 divisors (see below), whose sum is σ = 775004160. Its totient is φ = 217728000.

The previous prime is 442014019. The next prime is 442014031. The reversal of 442014027 is 720410244.

It is not a de Polignac number, because 442014027 - 23 = 442014019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 442013988 and 442014006.

It is not an unprimeable number, because it can be changed into a prime (442014427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244527 + ... + 246327.

It is an arithmetic number, because the mean of its divisors is an integer number (12109440).

Almost surely, 2442014027 is an apocalyptic number.

442014027 is a deficient number, since it is larger than the sum of its proper divisors (332990133).

442014027 is a wasteful number, since it uses less digits than its factorization.

442014027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884.

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 442014027 is about 21024.1296371574. The cubic root of 442014027 is about 761.7492182507.

The spelling of 442014027 in words is "four hundred forty-two million, fourteen thousand, twenty-seven".

Divisors: 1 3 7 13 21 29 31 39 87 91 93 203 217 273 377 403 609 651 899 1131 1209 1801 2639 2697 2821 5403 6293 7917 8463 11687 12607 18879 23413 35061 37821 52229 55831 70239 81809 156687 163891 167493 245427 365603 390817 491673 678977 725803 1096809 1172451 1619099 2036931 2177409 4752839 4857297 5080621 11333693 14258517 15241863 21048287 34001079 63144861 147338009 442014027