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42635216 = 2413712887
BaseRepresentation
bin1010001010100…
…0111111010000
32222020002112002
42202220333100
541403311331
64121453132
71025251631
oct242507720
988202462
1042635216
1122080518
12123411a8
138aaa150
14593b888
153b229cb
hex28a8fd0

42635216 has 40 divisors (see below), whose sum is σ = 90244224. Its totient is φ = 19393920.

The previous prime is 42635213. The next prime is 42635233. The reversal of 42635216 is 61253624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42635213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13325 + ... + 16211.

Almost surely, 242635216 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 42635216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45122112).

42635216 is an abundant number, since it is smaller than the sum of its proper divisors (47609008).

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

42635216 is a wasteful number, since it uses less digits than its factorization.

42635216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2973 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 42635216 is about 6529.5647634433. The cubic root of 42635216 is about 349.3463063897.

The spelling of 42635216 in words is "forty-two million, six hundred thirty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 71 104 142 208 284 568 923 1136 1846 2887 3692 5774 7384 11548 14768 23096 37531 46192 75062 150124 204977 300248 409954 600496 819908 1639816 2664701 3279632 5329402 10658804 21317608 42635216