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42742491 = 3112959757
BaseRepresentation
bin1010001100001…
…1001011011011
32222102112200020
42203003023123
541420224431
64124041523
71026206451
oct243031333
988375606
1042742491
1122144080
12123932a3
138b16c1c
1459689d1
153b44696
hex28c32db

42742491 has 32 divisors (see below), whose sum is σ = 65491200. Its totient is φ = 24554880.

The previous prime is 42742489. The next prime is 42742507. The reversal of 42742491 is 19424724.

42742491 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 42742491 - 21 = 42742489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (42742421) 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 31 ways as a sum of consecutive naturals, for example, 56085 + ... + 56841.

It is an arithmetic number, because the mean of its divisors is an integer number (2046600).

Almost surely, 242742491 is an apocalyptic number.

42742491 is a deficient number, since it is larger than the sum of its proper divisors (22748709).

42742491 is a wasteful number, since it uses less digits than its factorization.

42742491 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859.

The product of its digits is 16128, while the sum is 33.

The square root of 42742491 is about 6537.7741625113. The cubic root of 42742491 is about 349.6390591969.

The spelling of 42742491 in words is "forty-two million, seven hundred forty-two thousand, four hundred ninety-one".

Divisors: 1 3 11 29 33 59 87 177 319 649 757 957 1711 1947 2271 5133 8327 18821 21953 24981 44663 56463 65859 133989 241483 491293 724449 1295227 1473879 3885681 14247497 42742491