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886431420 = 2232571574481
BaseRepresentation
bin110100110101011…
…101111010111100
32021202222101022100
4310311131322330
53303411301140
6223543145100
730652354110
oct6465357274
92252871270
10886431420
11415405056
12208a45190
13111855744
1485a27740
1552c4b530
hex34d5debc

886431420 has 144 divisors (see below), whose sum is σ = 3093225408. Its totient is φ = 201277440.

The previous prime is 886431409. The next prime is 886431461. The reversal of 886431420 is 24134688.

886431420 is a `hidden beast` number, since 8 + 8 + 643 + 1 + 4 + 2 + 0 = 666.

886431420 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195580 + ... + 200060.

It is an arithmetic number, because the mean of its divisors is an integer number (21480732).

Almost surely, 2886431420 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 886431420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546612704).

886431420 is an abundant number, since it is smaller than the sum of its proper divisors (2206793988).

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

886431420 is a wasteful number, since it uses less digits than its factorization.

886431420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4660 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 886431420 is about 29772.9981694824. The cubic root of 886431420 is about 960.6128248602.

The spelling of 886431420 in words is "eight hundred eighty-six million, four hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 157 180 210 252 314 315 420 471 628 630 785 942 1099 1260 1413 1570 1884 2198 2355 2826 3140 3297 4396 4481 4710 5495 5652 6594 7065 8962 9420 9891 10990 13188 13443 14130 16485 17924 19782 21980 22405 26886 28260 31367 32970 39564 40329 44810 49455 53772 62734 65940 67215 80658 89620 94101 98910 125468 134430 156835 161316 188202 197820 201645 268860 282303 313670 376404 403290 470505 564606 627340 703517 806580 941010 1129212 1407034 1411515 1882020 2110551 2814068 2823030 3517585 4221102 4924619 5646060 6331653 7035170 8442204 9849238 10552755 12663306 14070340 14773857 19698476 21105510 24623095 25326612 29547714 31658265 42211020 44321571 49246190 59095428 63316530 73869285 88643142 98492380 126633060 147738570 177286284 221607855 295477140 443215710 886431420