Search a number
-
+
444869040 = 2435721119181
BaseRepresentation
bin11010100001000…
…010100110110000
31011000002200121010
4122201002212300
51402341302130
6112051030520
714011216200
oct3241024660
91130080533
10444869040
11209131770
12104b9b440
1371221425
1443124400
15290c80b0
hex1a8429b0

444869040 has 480 divisors, whose sum is σ = 1852381440. Its totient is φ = 87091200.

The previous prime is 444869023. The next prime is 444869101. The reversal of 444869040 is 40968444.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 444869040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2457750 + ... + 2457930.

It is an arithmetic number, because the mean of its divisors is an integer number (3859128).

Almost surely, 2444869040 is an apocalyptic number.

444869040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444869040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926190720).

444869040 is an abundant number, since it is smaller than the sum of its proper divisors (1407512400).

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

444869040 is a wasteful number, since it uses less digits than its factorization.

444869040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 444869040 is about 21091.9188316284. The cubic root of 444869040 is about 763.3857713108.

The spelling of 444869040 in words is "four hundred forty-four million, eight hundred sixty-nine thousand, forty".