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42459384 = 23311214621
BaseRepresentation
bin1010000111111…
…0000011111000
32221220011022210
42201332003320
541332200014
64114015120
71023620202
oct241760370
987804283
1042459384
1121a70400
12122774a0
138a480c6
1458d3772
153ada859
hex287e0f8

42459384 has 48 divisors (see below), whose sum is σ = 116683560. Its totient is φ = 12865600.

The previous prime is 42459383. The next prime is 42459401. The reversal of 42459384 is 48395424.

42459384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42459383) 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 11 ways as a sum of consecutive naturals, for example, 4407 + ... + 10214.

Almost surely, 242459384 is an apocalyptic number.

42459384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42459384 is an abundant number, since it is smaller than the sum of its proper divisors (74224176).

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

42459384 is a wasteful number, since it uses less digits than its factorization.

42459384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14652 (or 14637 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 42459384 is about 6516.0865555945. The cubic root of 42459384 is about 348.8653980214.

The spelling of 42459384 in words is "forty-two million, four hundred fifty-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 14621 29242 43863 58484 87726 116968 160831 175452 321662 350904 482493 643324 964986 1286648 1769141 1929972 3538282 3859944 5307423 7076564 10614846 14153128 21229692 42459384