Search a number
-
+
42583794 = 23114011609
BaseRepresentation
bin1010001001110…
…0011011110010
32222010110222120
42202130123302
541400140134
64120415110
71024646001
oct242343362
988113876
1042583794
1122045920
1212317496
138a8c916
145926c38
153b12649
hex289c6f2

42583794 has 32 divisors (see below), whose sum is σ = 93199680. Its totient is φ = 12864000.

The previous prime is 42583771. The next prime is 42583813. The reversal of 42583794 is 49738524.

42583794 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×425837942 = 3626759022868872, which contains 22 as substring.

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, 25662 + ... + 27270.

It is an arithmetic number, because the mean of its divisors is an integer number (2912490).

Almost surely, 242583794 is an apocalyptic number.

42583794 is an abundant number, since it is smaller than the sum of its proper divisors (50615886).

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

42583794 is a wasteful number, since it uses less digits than its factorization.

42583794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026.

The product of its digits is 241920, while the sum is 42.

The square root of 42583794 is about 6525.6259469878. The cubic root of 42583794 is about 349.2058019397.

The spelling of 42583794 in words is "forty-two million, five hundred eighty-three thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 11 22 33 66 401 802 1203 1609 2406 3218 4411 4827 8822 9654 13233 17699 26466 35398 53097 106194 645209 1290418 1935627 3871254 7097299 14194598 21291897 42583794