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441107072 = 277431072
BaseRepresentation
bin11010010010101…
…100001010000000
31010202000120010222
4122102230022000
51400410411242
6111434242212
713634230310
oct3222541200
91122016128
10441107072
11206aa22aa
12103886368
1370505003
1442825440
1528ad35d2
hex1a4ac280

441107072 has 96 divisors (see below), whose sum is σ = 1037356320. Its totient is φ = 182923776.

The previous prime is 441107071. The next prime is 441107077. The reversal of 441107072 is 270701144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441107071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4122443 + ... + 4122549.

It is an arithmetic number, because the mean of its divisors is an integer number (10805795).

Almost surely, 2441107072 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 441107072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518678160).

441107072 is an abundant number, since it is smaller than the sum of its proper divisors (596249248).

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

441107072 is an equidigital number, since it uses as much as digits as its factorization.

441107072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 441107072 is about 21002.5491786116. The cubic root of 441107072 is about 761.2278582290.

The spelling of 441107072 in words is "four hundred forty-one million, one hundred seven thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 107 112 128 172 214 224 301 344 428 448 602 688 749 856 896 1204 1376 1498 1712 2408 2752 2996 3424 4601 4816 5504 5992 6848 9202 9632 11449 11984 13696 18404 19264 22898 23968 32207 36808 38528 45796 47936 64414 73616 80143 91592 95872 128828 147232 160286 183184 257656 294464 320572 366368 492307 515312 588928 641144 732736 984614 1030624 1282288 1465472 1969228 2061248 2564576 3446149 3938456 4122496 5129152 6892298 7876912 10258304 13784596 15753824 27569192 31507648 55138384 63015296 110276768 220553536 441107072