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42378453 = 32132811289
BaseRepresentation
bin1010000110101…
…0010011010101
32221202001022100
42201222103111
541322102303
64112152313
71023132225
oct241522325
987661270
1042378453
1121a15617
1212238699
138a1a310
1458b2085
153ac18a3
hex286a4d5

42378453 has 24 divisors (see below), whose sum is σ = 66207960. Its totient is φ = 25966080.

The previous prime is 42378451. The next prime is 42378463. The reversal of 42378453 is 35487324.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8191044 + 34187409 = 2862^2 + 5847^2 .

It is not a de Polignac number, because 42378453 - 21 = 42378451 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42378451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32233 + ... + 33521.

It is an arithmetic number, because the mean of its divisors is an integer number (2758665).

Almost surely, 242378453 is an apocalyptic number.

It is an amenable number.

42378453 is a deficient number, since it is larger than the sum of its proper divisors (23829507).

42378453 is a wasteful number, since it uses less digits than its factorization.

42378453 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1586 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 42378453 is about 6509.8735010751. The cubic root of 42378453 is about 348.6436018744.

The spelling of 42378453 in words is "forty-two million, three hundred seventy-eight thousand, four hundred fifty-three".

Divisors: 1 3 9 13 39 117 281 843 1289 2529 3653 3867 10959 11601 16757 32877 50271 150813 362209 1086627 3259881 4708717 14126151 42378453