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42753351 = 3175315817
BaseRepresentation
bin1010001100010…
…1110101000111
32222110002120110
42203011311013
541421101401
64124204103
71026253224
oct243056507
988402513
1042753351
1122151253
1212399633
138b1bb54
14596c94b
153b479d6
hex28c5d47

42753351 has 16 divisors (see below), whose sum is σ = 61500384. Its totient is φ = 26317824.

The previous prime is 42753349. The next prime is 42753379. The reversal of 42753351 is 15335724.

42753351 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 42753351 - 21 = 42753349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42753301) 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, 5206 + ... + 10611.

It is an arithmetic number, because the mean of its divisors is an integer number (3843774).

Almost surely, 242753351 is an apocalyptic number.

42753351 is a deficient number, since it is larger than the sum of its proper divisors (18747033).

42753351 is a wasteful number, since it uses less digits than its factorization.

42753351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15890.

The product of its digits is 12600, while the sum is 30.

The square root of 42753351 is about 6538.6046676642. The cubic root of 42753351 is about 349.6686687536.

It can be divided in two parts, 4275 and 3351, that added together give a triangular number (7626 = T123).

The spelling of 42753351 in words is "forty-two million, seven hundred fifty-three thousand, three hundred fifty-one".

Divisors: 1 3 17 51 53 159 901 2703 15817 47451 268889 806667 838301 2514903 14251117 42753351