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42456087 = 3229473461
BaseRepresentation
bin1010000111110…
…1010000010111
32221212222210200
42201331100113
541332043322
64113551543
71023604452
oct241752027
987788720
1042456087
1121a68983
12122755b3
138a4675b
1458d2499
153ad98ac
hex287d417

42456087 has 24 divisors (see below), whose sum is σ = 64808640. Its totient is φ = 26738880.

The previous prime is 42456079. The next prime is 42456107. The reversal of 42456087 is 78065424.

42456087 is a `hidden beast` number, since 4 + 2 + 45 + 608 + 7 = 666.

42456087 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42456087 - 23 = 42456079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42456017) 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 23 ways as a sum of consecutive naturals, for example, 10537 + ... + 13997.

It is an arithmetic number, because the mean of its divisors is an integer number (2700360).

Almost surely, 242456087 is an apocalyptic number.

42456087 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

42456087 is a deficient number, since it is larger than the sum of its proper divisors (22352553).

42456087 is a wasteful number, since it uses less digits than its factorization.

42456087 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 42456087 is about 6515.8335614102. The cubic root of 42456087 is about 348.8563679093.

The spelling of 42456087 in words is "forty-two million, four hundred fifty-six thousand, eighty-seven".

Divisors: 1 3 9 29 47 87 141 261 423 1363 3461 4089 10383 12267 31149 100369 162667 301107 488001 903321 1464003 4717343 14152029 42456087