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42574833 = 3271016691
BaseRepresentation
bin1010001001101…
…0001111110001
32222010000200200
42202122033301
541344343313
64120305413
71024610610
oct242321761
988100620
1042574833
112203a114
1212312269
138a88812
145923877
153b0eb73
hex289a3f1

42574833 has 24 divisors (see below), whose sum is σ = 70988736. Its totient is φ = 24084000.

The previous prime is 42574823. The next prime is 42574853. The reversal of 42574833 is 33847524.

It is a happy number.

42574833 is a `hidden beast` number, since 4 + 2 + 574 + 83 + 3 = 666.

42574833 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 42574833 - 29 = 42574321 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42574823) 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, 3018 + ... + 9708.

It is an arithmetic number, because the mean of its divisors is an integer number (2957864).

Almost surely, 242574833 is an apocalyptic number.

It is an amenable number.

42574833 is a deficient number, since it is larger than the sum of its proper divisors (28413903).

42574833 is a wasteful number, since it uses less digits than its factorization.

42574833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6805 (or 6802 counting only the distinct ones).

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

The square root of 42574833 is about 6524.9393100626. The cubic root of 42574833 is about 349.1813055103.

The spelling of 42574833 in words is "forty-two million, five hundred seventy-four thousand, eight hundred thirty-three".

Divisors: 1 3 7 9 21 63 101 303 707 909 2121 6363 6691 20073 46837 60219 140511 421533 675791 2027373 4730537 6082119 14191611 42574833