Search a number
-
+
442038810 = 23514734627
BaseRepresentation
bin11010010110001…
…111101000011010
31010210202220020210
4122112033220122
51401130220220
6111510231550
713645160613
oct3226175032
91123686223
10442038810
11207579334
121040555b6
1370770135
14429c8c0a
1528c196e0
hex1a58fa1a

442038810 has 16 divisors (see below), whose sum is σ = 1060893216. Its totient is φ = 117877008.

The previous prime is 442038809. The next prime is 442038833. The reversal of 442038810 is 18830244.

It is a super-2 number, since 2×4420388102 = 390796619092432200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 14734627 = 442038810 / (4 + 4 + 2 + 0 + 3 + 8 + 8 + 1 + 0).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7367284 + ... + 7367343.

It is an arithmetic number, because the mean of its divisors is an integer number (66305826).

Almost surely, 2442038810 is an apocalyptic number.

442038810 is an abundant number, since it is smaller than the sum of its proper divisors (618854406).

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

442038810 is a wasteful number, since it uses less digits than its factorization.

442038810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14734637.

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

The square root of 442038810 is about 21024.7190230928. The cubic root of 442038810 is about 761.7634546602.

The spelling of 442038810 in words is "four hundred forty-two million, thirty-eight thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 15 30 14734627 29469254 44203881 73673135 88407762 147346270 221019405 442038810