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4491144 = 2332721967
BaseRepresentation
bin10001001000011110001000
322110011200200
4101020132020
52122204034
6240132200
753113500
oct21103610
98404620
104491144
112598299
121607060
13c132a8
1484ca00
155daa99
hex448788

4491144 has 144 divisors (see below), whose sum is σ = 15116400. Its totient is φ = 1197504.

The previous prime is 4491133. The next prime is 4491161. The reversal of 4491144 is 4411944.

4491144 = T189 + T190 + ... + T322.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66999 + ... + 67065.

It is an arithmetic number, because the mean of its divisors is an integer number (104975).

Almost surely, 24491144 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 4491144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7558200).

4491144 is an abundant number, since it is smaller than the sum of its proper divisors (10625256).

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

4491144 is a wasteful number, since it uses less digits than its factorization.

4491144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 98 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 4491144 is about 2119.2319363392. The cubic root of 4491144 is about 164.9879881063.

The spelling of 4491144 in words is "four million, four hundred ninety-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 49 56 57 63 67 72 76 84 98 114 126 133 134 147 152 168 171 196 201 228 252 266 268 294 342 392 399 402 441 456 469 504 532 536 588 603 684 798 804 882 931 938 1064 1176 1197 1206 1273 1368 1407 1596 1608 1764 1862 1876 2394 2412 2546 2793 2814 3192 3283 3528 3724 3752 3819 4221 4788 4824 5092 5586 5628 6566 7448 7638 8379 8442 8911 9576 9849 10184 11172 11256 11457 13132 15276 16758 16884 17822 19698 22344 22914 26264 26733 29547 30552 33516 33768 35644 39396 45828 53466 59094 62377 67032 71288 78792 80199 91656 106932 118188 124754 160398 187131 213864 236376 249508 320796 374262 499016 561393 641592 748524 1122786 1497048 2245572 4491144