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442110977 = 7211820243
BaseRepresentation
bin11010010110100…
…001010000000001
31010210220120020122
4122112201100001
51401140022402
6111511550025
713645611200
oct3226412001
91123816218
10442110977
11207618580
1210408b315
1370796c39
1442a07237
1528c30ca2
hex1a5a1401

442110977 has 12 divisors (see below), whose sum is σ = 561046896. Its totient is φ = 344501640.

The previous prime is 442110953. The next prime is 442110989. The reversal of 442110977 is 779011244.

It is not a de Polignac number, because 442110977 - 214 = 442094593 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442115977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 409583 + ... + 410660.

It is an arithmetic number, because the mean of its divisors is an integer number (46753908).

Almost surely, 2442110977 is an apocalyptic number.

It is an amenable number.

442110977 is a deficient number, since it is larger than the sum of its proper divisors (118935919).

442110977 is a wasteful number, since it uses less digits than its factorization.

442110977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820268 (or 820261 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 442110977 is about 21026.4351947733. The cubic root of 442110977 is about 761.8049074245.

The spelling of 442110977 in words is "four hundred forty-two million, one hundred ten thousand, nine hundred seventy-seven".

Divisors: 1 7 11 49 77 539 820243 5741701 9022673 40191907 63158711 442110977