Search a number
-
+
42791340 = 2235713189
BaseRepresentation
bin1010001100111…
…1000110101100
32222112000200110
42203033012230
541423310330
64125100020
71026502044
oct243170654
988460613
1042791340
1122177849
12123b7610
138b33227
14597c724
153b53db0
hex28cf1ac

42791340 has 24 divisors (see below), whose sum is σ = 119815920. Its totient is φ = 11411008.

The previous prime is 42791323. The next prime is 42791347. The reversal of 42791340 is 4319724.

It is a happy number.

42791340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 42791298 and 42791307.

It is not an unprimeable number, because it can be changed into a prime (42791347) 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 7 ways as a sum of consecutive naturals, for example, 356535 + ... + 356654.

It is an arithmetic number, because the mean of its divisors is an integer number (4992330).

Almost surely, 242791340 is an apocalyptic number.

It is an amenable number.

42791340 is an abundant number, since it is smaller than the sum of its proper divisors (77024580).

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

42791340 is a wasteful number, since it uses less digits than its factorization.

42791340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713201 (or 713199 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 42791340 is about 6541.5090002231. The cubic root of 42791340 is about 349.7722055156.

The spelling of 42791340 in words is "forty-two million, seven hundred ninety-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 713189 1426378 2139567 2852756 3565945 4279134 7131890 8558268 10697835 14263780 21395670 42791340