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42814380 = 22357101939
BaseRepresentation
bin1010001101010…
…0101110101100
32222120012021210
42203110232230
541430030010
64125354420
71026626160
oct243245654
988505253
1042814380
1122193094
1212408a10
138b4086b
145986ca0
153b5ab20
hex28d4bac

42814380 has 48 divisors (see below), whose sum is σ = 137007360. Its totient is φ = 9786048.

The previous prime is 42814351. The next prime is 42814393. The reversal of 42814380 is 8341824.

42814380 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 2×428143802 = 3666142269568800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 50550 + ... + 51389.

It is an arithmetic number, because the mean of its divisors is an integer number (2854320).

Almost surely, 242814380 is an apocalyptic number.

It is an amenable number.

42814380 is an abundant number, since it is smaller than the sum of its proper divisors (94192980).

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

42814380 is a wasteful number, since it uses less digits than its factorization.

42814380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101958 (or 101956 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 42814380 is about 6543.2698247894. The cubic root of 42814380 is about 349.8349698171.

The spelling of 42814380 in words is "forty-two million, eight hundred fourteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 101939 203878 305817 407756 509695 611634 713573 1019390 1223268 1427146 1529085 2038780 2140719 2854292 3058170 3567865 4281438 6116340 7135730 8562876 10703595 14271460 21407190 42814380