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444412040 = 235103107867
BaseRepresentation
bin11010011111010…
…011000010001000
31010222020110201012
4122133103002020
51402232141130
6112033143052
714004303632
oct3237230210
91128213635
10444412040
1120894a386
121049baa88
13710c1407
1443045a52
1529037995
hex1a7d3088

444412040 has 32 divisors (see below), whose sum is σ = 1009644480. Its totient is φ = 176037312.

The previous prime is 444412039. The next prime is 444412081. The reversal of 444412040 is 40214444.

It is a super-2 number, since 2×4444120402 = 395004122593923200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444411997 and 444412015.

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 7 ways as a sum of consecutive naturals, for example, 49814 + ... + 58053.

It is an arithmetic number, because the mean of its divisors is an integer number (31551390).

Almost surely, 2444412040 is an apocalyptic number.

444412040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444412040 is an abundant number, since it is smaller than the sum of its proper divisors (565232440).

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

444412040 is a wasteful number, since it uses less digits than its factorization.

444412040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107981 (or 107977 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 444412040 is about 21081.0825148995. The cubic root of 444412040 is about 763.1242810036.

Adding to 444412040 its reverse (40214444), we get a palindrome (484626484).

The spelling of 444412040 in words is "four hundred forty-four million, four hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 103 206 412 515 824 1030 2060 4120 107867 215734 431468 539335 862936 1078670 2157340 4314680 11110301 22220602 44441204 55551505 88882408 111103010 222206020 444412040