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42723980 = 22513732251
BaseRepresentation
bin1010001011111…
…0101010001100
32222101121021122
42202332222030
541414131410
64123420112
71026101465
oct242765214
988347248
1042723980
1122131182
1212384638
138b0b680
145961d6c
153b3de55
hex28bea8c

42723980 has 48 divisors (see below), whose sum is σ = 97989024. Its totient is φ = 15552000.

The previous prime is 42723979. The next prime is 42724007. The reversal of 42723980 is 8932724.

42723980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42723980.

It is an unprimeable number.

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, 17855 + ... + 20105.

It is an arithmetic number, because the mean of its divisors is an integer number (2041438).

Almost surely, 242723980 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 42723980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48994512).

42723980 is an abundant number, since it is smaller than the sum of its proper divisors (55265044).

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

42723980 is a wasteful number, since it uses less digits than its factorization.

42723980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 42723980 is about 6536.3583133118. The cubic root of 42723980 is about 349.5885777905.

The spelling of 42723980 in words is "forty-two million, seven hundred twenty-three thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 260 292 365 730 949 1460 1898 2251 3796 4502 4745 9004 9490 11255 18980 22510 29263 45020 58526 117052 146315 164323 292630 328646 585260 657292 821615 1643230 2136199 3286460 4272398 8544796 10680995 21361990 42723980