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42530256 = 24322631123
BaseRepresentation
bin1010001000111…
…1010111010000
32222000202112200
42202033113100
541341432011
64115323200
71024333626
oct242172720
988022480
1042530256
112200967a
12122b0500
138a71442
145911516
153b01856
hex288f5d0

42530256 has 60 divisors (see below), whose sum is σ = 119584608. Its totient is φ = 14110272.

The previous prime is 42530251. The next prime is 42530273. The reversal of 42530256 is 65203524.

It is a super-3 number, since 3×425302563 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42530251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37311 + ... + 38433.

Almost surely, 242530256 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 42530256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59792304).

42530256 is an abundant number, since it is smaller than the sum of its proper divisors (77054352).

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

42530256 is a wasteful number, since it uses less digits than its factorization.

42530256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 42530256 is about 6521.5225216202. The cubic root of 42530256 is about 349.0593955336.

The spelling of 42530256 in words is "forty-two million, five hundred thirty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 263 526 789 1052 1123 1578 2104 2246 2367 3156 3369 4208 4492 4734 6312 6738 8984 9468 10107 12624 13476 17968 18936 20214 26952 37872 40428 53904 80856 161712 295349 590698 886047 1181396 1772094 2362792 2658141 3544188 4725584 5316282 7088376 10632564 14176752 21265128 42530256