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42648260 = 22543101491
BaseRepresentation
bin1010001010110…
…0001011000100
32222020202102012
42202230023010
541404221020
64122033352
71025334644
oct242541304
988222365
1042648260
112208a2a6
1212348858
138ab3075
145942524
153b267c5
hex28ac2c4

42648260 has 48 divisors (see below), whose sum is σ = 92740032. Its totient is φ = 16464000.

The previous prime is 42648259. The next prime is 42648271. The reversal of 42648260 is 6284624.

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86615 + ... + 87105.

It is an arithmetic number, because the mean of its divisors is an integer number (1932084).

Almost surely, 242648260 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 42648260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46370016).

42648260 is an abundant number, since it is smaller than the sum of its proper divisors (50091772).

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

42648260 is a wasteful number, since it uses less digits than its factorization.

42648260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 42648260 is about 6530.5635285173. The cubic root of 42648260 is about 349.3819295905.

The spelling of 42648260 in words is "forty-two million, six hundred forty-eight thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 43 86 101 172 202 215 404 430 491 505 860 982 1010 1964 2020 2455 4343 4910 8686 9820 17372 21113 21715 42226 43430 49591 84452 86860 99182 105565 198364 211130 247955 422260 495910 991820 2132413 4264826 8529652 10662065 21324130 42648260