Search a number
-
+
442000049 = 29412231667
BaseRepresentation
bin11010010110000…
…110001010110001
31010210200221002012
4122112012022301
51401123000144
6111505332305
713644636611
oct3226061261
91123627065
10442000049
112075521a7
12104037095
13707585ba
14429b8a41
1528c0ce9e
hex1a5862b1

442000049 has 16 divisors (see below), whose sum is σ = 470776320. Its totient is φ = 414234240.

The previous prime is 442000043. The next prime is 442000073. The reversal of 442000049 is 940000244.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-442000049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 441999988 and 442000033.

It is not an unprimeable number, because it can be changed into a prime (442000043) 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, 264314 + ... + 265980.

It is an arithmetic number, because the mean of its divisors is an integer number (29423520).

Almost surely, 2442000049 is an apocalyptic number.

It is an amenable number.

442000049 is a deficient number, since it is larger than the sum of its proper divisors (28776271).

442000049 is a wasteful number, since it uses less digits than its factorization.

442000049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960.

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 442000049 is about 21023.7972069748. The cubic root of 442000049 is about 761.7411884581.

The spelling of 442000049 in words is "four hundred forty-two million, forty-nine", and thus it is an aban number.

Divisors: 1 29 41 223 1189 1667 6467 9143 48343 68347 265147 371741 1982063 10780489 15241381 442000049