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442042293 = 37113751719
BaseRepresentation
bin11010010110010…
…000011110110101
31010210210002000210
4122112100132311
51401130323133
6111510300033
713645204020
oct3226203665
91123702023
10442042293
11207580a10
12104057619
13707718b4
14429ca1b7
1528c1a763
hex1a5907b5

442042293 has 32 divisors (see below), whose sum is σ = 754698240. Its totient is φ = 223421760.

The previous prime is 442042291. The next prime is 442042301. The reversal of 442042293 is 392240244.

It is not a de Polignac number, because 442042293 - 21 = 442042291 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 442042293.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442042291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17313 + ... + 34406.

It is an arithmetic number, because the mean of its divisors is an integer number (23584320).

Almost surely, 2442042293 is an apocalyptic number.

It is an amenable number.

442042293 is a deficient number, since it is larger than the sum of its proper divisors (312655947).

442042293 is a wasteful number, since it uses less digits than its factorization.

442042293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51777.

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 442042293 is about 21024.8018540009. The cubic root of 442042293 is about 761.7654554009.

The spelling of 442042293 in words is "four hundred forty-two million, forty-two thousand, two hundred ninety-three".

Divisors: 1 3 7 11 21 33 37 77 111 231 259 407 777 1221 2849 8547 51719 155157 362033 568909 1086099 1706727 1913603 3982363 5740809 11947089 13395221 21049633 40185663 63148899 147347431 442042293