Search a number
-
+
896093184 = 2103725953
BaseRepresentation
bin110101011010010…
…100110000000000
32022110011020202110
4311122110300000
53313344440214
6224530215320
731130444400
oct6532246000
92273136673
10896093184
1141a904088
12210124540
1311385936c
1487020800
1553a09159
hex35694c00

896093184 has 132 divisors (see below), whose sum is σ = 2778827064. Its totient is φ = 255983616.

The previous prime is 896093173. The next prime is 896093197. The reversal of 896093184 is 481390698.

It is a super-2 number, since 2×8960931842 = 1605965988822515712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 11 ways as a sum of consecutive naturals, for example, 147552 + ... + 153504.

Almost surely, 2896093184 is an apocalyptic number.

896093184 is a gapful number since it is divisible by the number (84) 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 896093184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389413532).

896093184 is an abundant number, since it is smaller than the sum of its proper divisors (1882733880).

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

896093184 is a wasteful number, since it uses less digits than its factorization.

896093184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5990 (or 5965 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 896093184 is about 29934.8155831968. The cubic root of 896093184 is about 964.0903251510.

The spelling of 896093184 in words is "eight hundred ninety-six million, ninety-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2352 2688 3072 3136 3584 4704 5376 5953 6272 7168 9408 10752 11906 12544 17859 18816 21504 23812 25088 35718 37632 41671 47624 50176 71436 75264 83342 95248 125013 142872 150528 166684 190496 250026 285744 291697 333368 380992 500052 571488 583394 666736 761984 875091 1000104 1142976 1166788 1333472 1523968 1750182 2000208 2285952 2333576 2666944 3047936 3500364 4000416 4571904 4667152 5333888 6095872 7000728 8000832 9143808 9334304 10667776 14001456 16001664 18287616 18668608 21335552 28002912 32003328 37337216 42671104 56005824 64006656 74674432 112011648 128013312 149348864 224023296 298697728 448046592 896093184