Search a number
-
+
404869360 = 24572179577
BaseRepresentation
bin11000001000011…
…101000011110000
31001012211111100111
4120020131003300
51312121304420
6104101431104
713014222100
oct3010350360
91035744314
10404869360
111985a1385
12b370b494
1365b57a8c
143bab1200
152582645a
hex1821d0f0

404869360 has 120 divisors (see below), whose sum is σ = 1103032080. Its totient is φ = 137797632.

The previous prime is 404869351. The next prime is 404869379. The reversal of 404869360 is 63968404.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 701392 + ... + 701968.

It is an arithmetic number, because the mean of its divisors is an integer number (9191934).

Almost surely, 2404869360 is an apocalyptic number.

404869360 is a gapful number since it is divisible by the number (40) 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 404869360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551516040).

404869360 is an abundant number, since it is smaller than the sum of its proper divisors (698162720).

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

404869360 is a wasteful number, since it uses less digits than its factorization.

404869360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 404869360 is about 20121.3657588147. The cubic root of 404869360 is about 739.7840616587.

The spelling of 404869360 in words is "four hundred four million, eight hundred sixty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 179 196 245 280 358 392 490 560 577 716 784 895 980 1154 1253 1432 1790 1960 2308 2506 2864 2885 3580 3920 4039 4616 5012 5770 6265 7160 8078 8771 9232 10024 11540 12530 14320 16156 17542 20048 20195 23080 25060 28273 32312 35084 40390 43855 46160 50120 56546 64624 70168 80780 87710 100240 103283 113092 140336 141365 161560 175420 206566 226184 282730 323120 350840 413132 452368 516415 565460 701680 722981 826264 1032830 1130920 1445962 1652528 2065660 2261840 2891924 3614905 4131320 5060867 5783848 7229810 8262640 10121734 11567696 14459620 20243468 25304335 28919240 40486936 50608670 57838480 80973872 101217340 202434680 404869360