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42690784 = 2529179257
BaseRepresentation
bin1010001011011…
…0100011100000
32222022220202011
42202312203200
541412101114
64123002304
71025602633
oct242664340
988286664
1042690784
1122109244
1212369394
138ac9526
145953c1a
153b341c4
hex28b68e0

42690784 has 48 divisors (see below), whose sum is σ = 87771600. Its totient is φ = 20414464.

The previous prime is 42690779. The next prime is 42690793. The reversal of 42690784 is 48709624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165984 + ... + 166240.

It is an arithmetic number, because the mean of its divisors is an integer number (1828575).

Almost surely, 242690784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42690784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43885800).

42690784 is an abundant number, since it is smaller than the sum of its proper divisors (45080816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42690784 is a wasteful number, since it uses less digits than its factorization.

42690784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 42690784 is about 6533.8184853882. The cubic root of 42690784 is about 349.4980123410.

The spelling of 42690784 in words is "forty-two million, six hundred ninety thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 29 32 58 116 179 232 257 358 464 514 716 928 1028 1432 2056 2864 4112 5191 5728 7453 8224 10382 14906 20764 29812 41528 46003 59624 83056 92006 119248 166112 184012 238496 368024 736048 1334087 1472096 2668174 5336348 10672696 21345392 42690784