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441544194 = 232721397397
BaseRepresentation
bin11010010100010…
…110111000000010
31010202211202202200
4122110112320002
51401013403234
6111451454030
713641030600
oct3224267002
91122752680
10441544194
11207270763
12103a57316
1370628c70
14428da870
1528b6cd99
hex1a516e02

441544194 has 144 divisors (see below), whose sum is σ = 1213882488. Its totient is φ = 114960384.

The previous prime is 441544189. The next prime is 441544303. The reversal of 441544194 is 491445144.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 329967225 + 111576969 = 18165^2 + 10563^2 .

It is a super-2 number, since 2×4415441942 = 389922550510219272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1112004 + ... + 1112400.

Almost surely, 2441544194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441544194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606941244).

441544194 is an abundant number, since it is smaller than the sum of its proper divisors (772338294).

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

441544194 is a wasteful number, since it uses less digits than its factorization.

441544194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 519 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 441544194 is about 21012.9530052299. The cubic root of 441544194 is about 761.4792254600.

The spelling of 441544194 in words is "four hundred forty-one million, five hundred forty-four thousand, one hundred ninety-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 97 98 117 126 147 182 194 234 273 291 294 397 441 546 582 637 679 794 819 873 882 1191 1261 1274 1358 1638 1746 1911 2037 2382 2522 2779 3573 3783 3822 4074 4753 5161 5558 5733 6111 7146 7566 8337 8827 9506 10322 11349 11466 12222 14259 15483 16674 17654 19453 22698 25011 26481 28518 30966 36127 38509 38906 42777 46449 50022 52962 58359 61789 72254 77018 79443 85554 92898 108381 115527 116718 123578 158886 175077 185367 216762 231054 252889 269563 325143 346581 350154 370734 500617 505778 539126 556101 650286 693162 758667 808689 1001234 1112202 1501851 1517334 1617378 1886941 2276001 2426067 3003702 3504319 3773882 4505553 4552002 4852134 5660823 7008638 9011106 10512957 11321646 16982469 21025914 24530233 31538871 33964938 49060466 63077742 73590699 147181398 220772097 441544194