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30986496 = 28334483
BaseRepresentation
bin111011000110…
…1000100000000
32011022021111000
41312031010000
530413031441
63024052000
7524244432
oct166150400
964267430
1030986496
1116544682
12a464000
13655c008
144188652
152ac12b6
hex1d8d100

30986496 has 72 divisors (see below), whose sum is σ = 91652960. Its totient is φ = 10326528.

The previous prime is 30986491. The next prime is 30986509. The reversal of 30986496 is 69468903.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (30986491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4671 + ... + 9153.

Almost surely, 230986496 is an apocalyptic number.

30986496 is a gapful number since it is divisible by the number (36) 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 30986496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45826480).

30986496 is an abundant number, since it is smaller than the sum of its proper divisors (60666464).

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

30986496 is an equidigital number, since it uses as much as digits as its factorization.

30986496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4508 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 30986496 is about 5566.5515357356. The cubic root of 30986496 is about 314.0924444160.

The spelling of 30986496 in words is "thirty million, nine hundred eighty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 4483 6912 8966 13449 17932 26898 35864 40347 53796 71728 80694 107592 121041 143456 161388 215184 242082 286912 322776 430368 484164 573824 645552 860736 968328 1147648 1291104 1721472 1936656 2582208 3442944 3873312 5164416 7746624 10328832 15493248 30986496