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27430728 = 2331326763
BaseRepresentation
bin110100010100…
…0111101001000
31220121121212220
41220220331020
524010240403
62415534040
7452104653
oct150507510
956547786
1027430728
1114536126
12922a320
1358b5700
14390089a
15261c953
hex1a28f48

27430728 has 48 divisors (see below), whose sum is σ = 74268720. Its totient is φ = 8438976.

The previous prime is 27430709. The next prime is 27430729. The reversal of 27430728 is 82703472.

It is not an unprimeable number, because it can be changed into a prime (27430729) by changing a digit.

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, 675 + ... + 7437.

It is an arithmetic number, because the mean of its divisors is an integer number (1547265).

Almost surely, 227430728 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 27430728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37134360).

27430728 is an abundant number, since it is smaller than the sum of its proper divisors (46837992).

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

27430728 is a wasteful number, since it uses less digits than its factorization.

27430728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6798 (or 6781 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 27430728 is about 5237.4352501964. The cubic root of 27430728 is about 301.5868801269.

The spelling of 27430728 in words is "twenty-seven million, four hundred thirty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 4056 6763 13526 20289 27052 40578 54104 81156 87919 162312 175838 263757 351676 527514 703352 1055028 1142947 2110056 2285894 3428841 4571788 6857682 9143576 13715364 27430728