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42057008 = 247375509
BaseRepresentation
bin1010000001101…
…1110100110000
32221010201100222
42200123310300
541231311013
64101232212
71020323120
oct240336460
987121328
1042057008
1121816064
1212102668
138936c06
14582ac80
153a5b508
hex281bd30

42057008 has 20 divisors (see below), whose sum is σ = 93126480. Its totient is φ = 18024384.

The previous prime is 42057007. The next prime is 42057011. The reversal of 42057008 is 80075024.

It is a super-4 number, since 4×420570084 (a number of 32 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (42057007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 187643 + ... + 187866.

It is an arithmetic number, because the mean of its divisors is an integer number (4656324).

Almost surely, 242057008 is an apocalyptic number.

It is an amenable number.

42057008 is an abundant number, since it is smaller than the sum of its proper divisors (51069472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42057008 is a wasteful number, since it uses less digits than its factorization.

42057008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375524 (or 375518 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 42057008 is about 6485.1374696301. The cubic root of 42057008 is about 347.7598642803.

The spelling of 42057008 in words is "forty-two million, fifty-seven thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 375509 751018 1502036 2628563 3004072 5257126 6008144 10514252 21028504 42057008