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42048973 = 174752627
BaseRepresentation
bin1010000001100…
…1110111001101
32221010022100101
42200121313031
541231031343
64101131101
71020260521
oct240316715
987108311
1042048973
112181001a
12120b9a91
138933365
145827d81
153a58e4d
hex2819dcd

42048973 has 8 divisors (see below), whose sum is σ = 45470592. Its totient is φ = 38732736.

The previous prime is 42048971. The next prime is 42048977. The reversal of 42048973 is 37984024.

It is a happy number.

42048973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 42048973 - 21 = 42048971 is a prime.

It is a super-2 number, since 2×420489732 = 3536232260709458, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42048971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25515 + ... + 27112.

It is an arithmetic number, because the mean of its divisors is an integer number (5683824).

Almost surely, 242048973 is an apocalyptic number.

It is an amenable number.

42048973 is a deficient number, since it is larger than the sum of its proper divisors (3421619).

42048973 is a wasteful number, since it uses less digits than its factorization.

42048973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52691.

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 42048973 is about 6484.5179466172. The cubic root of 42048973 is about 347.7377163387.

The spelling of 42048973 in words is "forty-two million, forty-eight thousand, nine hundred seventy-three".

Divisors: 1 17 47 799 52627 894659 2473469 42048973