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42504784 = 2471312897
BaseRepresentation
bin1010001000100…
…1001001010000
32221222110121021
42202021021100
541340123114
64115005224
71024166440
oct242111120
987873537
1042504784
1121aa1523
1212299814
138a6297a
145906120
153ae9024
hex2889250

42504784 has 40 divisors (see below), whose sum is σ = 94868928. Its totient is φ = 18071040.

The previous prime is 42504731. The next prime is 42504809. The reversal of 42504784 is 48740524.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13224 + ... + 16120.

Almost surely, 242504784 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 42504784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47434464).

42504784 is an abundant number, since it is smaller than the sum of its proper divisors (52364144).

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

42504784 is a wasteful number, since it uses less digits than its factorization.

42504784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

The square root of 42504784 is about 6519.5693109284. The cubic root of 42504784 is about 348.9896960037.

The spelling of 42504784 in words is "forty-two million, five hundred four thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 131 262 524 917 1048 1834 2096 2897 3668 5794 7336 11588 14672 20279 23176 40558 46352 81116 162232 324464 379507 759014 1518028 2656549 3036056 5313098 6072112 10626196 21252392 42504784