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444009780 = 2232512719423
BaseRepresentation
bin11010011101110…
…000110100110100
31010221111000220200
4122131300310310
51402131303110
6112020400500
714001010104
oct3235606464
91127430820
10444009780
112086a5135
12104846130
1370cb02a6
1442d7d204
1528ea86c0
hex1a770d34

444009780 has 72 divisors (see below), whose sum is σ = 1357504512. Its totient is φ = 117464256.

The previous prime is 444009767. The next prime is 444009781. The reversal of 444009780 is 87900444.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444009781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13149 + ... + 32571.

Almost surely, 2444009780 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 444009780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678752256).

444009780 is an abundant number, since it is smaller than the sum of its proper divisors (913494732).

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

444009780 is a wasteful number, since it uses less digits than its factorization.

444009780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19565 (or 19560 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 444009780 is about 21071.5395735575. The cubic root of 444009780 is about 762.8939639317.

The spelling of 444009780 in words is "four hundred forty-four million, nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1524 1905 2286 2540 3810 4572 5715 7620 11430 19423 22860 38846 58269 77692 97115 116538 174807 194230 233076 291345 349614 388460 582690 699228 874035 1165380 1748070 2466721 3496140 4933442 7400163 9866884 12333605 14800326 22200489 24667210 29600652 37000815 44400978 49334420 74001630 88801956 111002445 148003260 222004890 444009780