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42678053 = 1129353379
BaseRepresentation
bin1010001011001…
…1011100100101
32222022021021122
42202303130211
541411144203
64122423325
71025520545
oct242633445
988267248
1042678053
11220aa720
1212361b45
138ac37b2
14594d325
153b30538
hex28b3725

42678053 has 16 divisors (see below), whose sum is σ = 48427200. Its totient is φ = 37255680.

The previous prime is 42678049. The next prime is 42678067. The reversal of 42678053 is 35087624.

It is a happy number.

42678053 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 42678053 - 22 = 42678049 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42678023) 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 15 ways as a sum of consecutive naturals, for example, 112418 + ... + 112796.

It is an arithmetic number, because the mean of its divisors is an integer number (3026700).

Almost surely, 242678053 is an apocalyptic number.

It is an amenable number.

42678053 is a deficient number, since it is larger than the sum of its proper divisors (5749147).

42678053 is a wasteful number, since it uses less digits than its factorization.

42678053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772.

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 42678053 is about 6532.8441738649. The cubic root of 42678053 is about 349.4632671247.

The spelling of 42678053 in words is "forty-two million, six hundred seventy-eight thousand, fifty-three".

Divisors: 1 11 29 319 353 379 3883 4169 10237 10991 112607 120901 133787 1471657 3879823 42678053