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491244444 = 2232171934159
BaseRepresentation
bin11101010001111…
…100101110011100
31021020100210200200
4131101330232130
52001224310234
6120425023500
715113336355
oct3521745634
91236323620
10491244444
11232327249
12118624b90
137aa0aab2
1449356d2c
152d1d8d99
hex1d47cb9c

491244444 has 72 divisors (see below), whose sum is σ = 1321931520. Its totient is φ = 153280512.

The previous prime is 491244437. The next prime is 491244463. The reversal of 491244444 is 444442194.

It is a super-2 number, since 2×4912444442 = 482642207521738272, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

491244444 is a modest number, since divided by 44444 gives 4912 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 491244399 and 491244408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116037 + ... + 120195.

It is an arithmetic number, because the mean of its divisors is an integer number (18360160).

Almost surely, 2491244444 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 491244444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660965760).

491244444 is an abundant number, since it is smaller than the sum of its proper divisors (830687076).

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

491244444 is a wasteful number, since it uses less digits than its factorization.

491244444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4379 (or 4374 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 491244444 is about 22164.0349214668. The cubic root of 491244444 is about 789.0403580199.

The spelling of 491244444 in words is "four hundred ninety-one million, two hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 193 204 306 386 579 612 772 1158 1737 2316 3281 3474 4159 6562 6948 8318 9843 12477 13124 16636 19686 24954 29529 37431 39372 49908 59058 70703 74862 118116 141406 149724 212109 282812 424218 636327 802687 848436 1272654 1605374 2408061 2545308 3210748 4816122 7224183 9632244 13645679 14448366 27291358 28896732 40937037 54582716 81874074 122811111 163748148 245622222 491244444