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42641380 = 22543179277
BaseRepresentation
bin1010001010101…
…0011111100100
32222020101222101
42202222133210
541404011010
64121541444
71025305615
oct242523744
988211871
1042641380
1122085111
1212344884
138aacbb2
14593dc0c
153b2473a
hex28aa7e4

42641380 has 48 divisors (see below), whose sum is σ = 92473920. Its totient is φ = 16507008.

The previous prime is 42641371. The next prime is 42641381. The reversal of 42641380 is 8314624.

42641380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42641381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153802 + ... + 154078.

It is an arithmetic number, because the mean of its divisors is an integer number (1926540).

Almost surely, 242641380 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 42641380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46236960).

42641380 is an abundant number, since it is smaller than the sum of its proper divisors (49832540).

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

42641380 is a wasteful number, since it uses less digits than its factorization.

42641380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 42641380 is about 6530.0367533422. The cubic root of 42641380 is about 349.3631411965.

The spelling of 42641380 in words is "forty-two million, six hundred forty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 43 86 172 179 215 277 358 430 554 716 860 895 1108 1385 1790 2770 3580 5540 7697 11911 15394 23822 30788 38485 47644 49583 59555 76970 99166 119110 153940 198332 238220 247915 495830 991660 2132069 4264138 8528276 10660345 21320690 42641380