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42007819 = 710159417
BaseRepresentation
bin1010000000111…
…1110100001011
32221001012220011
42200033310023
541223222234
64100212351
71020026530
oct240176413
987035804
1042007819
1121792107
121209a0b7
13891a6c9
145816d87
153a4bb64
hex280fd0b

42007819 has 8 divisors (see below), whose sum is σ = 48485088. Its totient is φ = 35649600.

The previous prime is 42007813. The next prime is 42007831. The reversal of 42007819 is 91870024.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42007819 - 25 = 42007787 is a prime.

It is a super-2 number, since 2×420078192 = 3529313714273522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42007813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29002 + ... + 30415.

It is an arithmetic number, because the mean of its divisors is an integer number (6060636).

Almost surely, 242007819 is an apocalyptic number.

42007819 is a deficient number, since it is larger than the sum of its proper divisors (6477269).

42007819 is a wasteful number, since it uses less digits than its factorization.

42007819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59525.

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 42007819 is about 6481.3439192809. The cubic root of 42007819 is about 347.6242338267.

The spelling of 42007819 in words is "forty-two million, seven thousand, eight hundred nineteen".

Divisors: 1 7 101 707 59417 415919 6001117 42007819