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42205419 = 3237126743
BaseRepresentation
bin1010000100000…
…0000011101011
32221102020221200
42201000003223
541301033134
64104335243
71021511604
oct241000353
987366850
1042205419
1121907613
1212174523
138989629
145868dab
153a8a499
hex28400eb

42205419 has 12 divisors (see below), whose sum is σ = 62611536. Its totient is φ = 27376272.

The previous prime is 42205381. The next prime is 42205421. The reversal of 42205419 is 91450224.

42205419 is a `hidden beast` number, since 42 + 205 + 419 = 666.

It is not a de Polignac number, because 42205419 - 213 = 42197227 is a prime.

It is a super-2 number, since 2×422054192 = 3562594785931122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42205392 and 42205401.

It is not an unprimeable number, because it can be changed into a prime (42205459) 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, 63039 + ... + 63704.

It is an arithmetic number, because the mean of its divisors is an integer number (5217628).

Almost surely, 242205419 is an apocalyptic number.

42205419 is a deficient number, since it is larger than the sum of its proper divisors (20406117).

42205419 is a wasteful number, since it uses less digits than its factorization.

42205419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126786 (or 126783 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 42205419 is about 6496.5697872031. The cubic root of 42205419 is about 348.1684430290.

It can be divided in two parts, 42205 and 419, that added together give a palindrome (42624).

The spelling of 42205419 in words is "forty-two million, two hundred five thousand, four hundred nineteen".

Divisors: 1 3 9 37 111 333 126743 380229 1140687 4689491 14068473 42205419