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4090944 = 2631113149
BaseRepresentation
bin1111100110110001000000
321200211201110
433212301000
52021402234
6223403320
746525644
oct17466100
97624643
104090944
112344650
121453540
13b030a0
14786c24
1555c1e9
hex3e6c40

4090944 has 112 divisors (see below), whose sum is σ = 12801600. Its totient is φ = 1136640.

The previous prime is 4090937. The next prime is 4090967. The reversal of 4090944 is 4490904.

It is a super-2 number, since 2×40909442 = 33471645622272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27382 + ... + 27530.

It is an arithmetic number, because the mean of its divisors is an integer number (114300).

Almost surely, 24090944 is an apocalyptic number.

4090944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4090944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6400800).

4090944 is an abundant number, since it is smaller than the sum of its proper divisors (8710656).

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

4090944 is a wasteful number, since it uses less digits than its factorization.

4090944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 4090944 is about 2022.6082171296. The cubic root of 4090944 is about 159.9341395604.

The spelling of 4090944 in words is "four million, ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 149 156 176 192 208 264 286 298 312 352 416 429 447 528 572 596 624 704 832 858 894 1056 1144 1192 1248 1639 1716 1788 1937 2112 2288 2384 2496 3278 3432 3576 3874 4576 4768 4917 5811 6556 6864 7152 7748 9152 9536 9834 11622 13112 13728 14304 15496 19668 21307 23244 26224 27456 28608 30992 39336 42614 46488 52448 61984 63921 78672 85228 92976 104896 123968 127842 157344 170456 185952 255684 314688 340912 371904 511368 681824 1022736 1363648 2045472 4090944