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444671380 = 225174612837
BaseRepresentation
bin11010100000010…
…010010110010100
31010222201122110101
4122200102112110
51402313441010
6112042503444
714006434006
oct3240222624
91128648411
10444671380
1120900720a
12104b04b84
137118247a
14430b2376
152908973a
hex1a812594

444671380 has 48 divisors (see below), whose sum is σ = 991233936. Its totient is φ = 166983680.

The previous prime is 444671369. The next prime is 444671393. The reversal of 444671380 is 83176444.

It can be written as a sum of positive squares in 8 ways, for example, as 42588676 + 402082704 = 6526^2 + 20052^2 .

It is a super-2 number, since 2×4446713802 = 395465272382208800, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 155322 + ... + 158158.

It is an arithmetic number, because the mean of its divisors is an integer number (20650707).

Almost surely, 2444671380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444671380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495616968).

444671380 is an abundant number, since it is smaller than the sum of its proper divisors (546562556).

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

444671380 is a wasteful number, since it uses less digits than its factorization.

444671380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 444671380 is about 21087.2326301959. The cubic root of 444671380 is about 763.2726944493.

The spelling of 444671380 in words is "four hundred forty-four million, six hundred seventy-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 461 922 1844 2305 2837 4610 5674 7837 9220 11348 14185 15674 28370 31348 39185 48229 56740 78370 96458 156740 192916 241145 482290 964580 1307857 2615714 5231428 6539285 13078570 22233569 26157140 44467138 88934276 111167845 222335690 444671380