Search a number
-
+
29946728 = 2374113043
BaseRepresentation
bin111001000111…
…1001101101000
32002100110012002
41302033031220
530131243403
62545510132
7512354150
oct162171550
962313162
1029946728
11159a4469
12a042348
136286976
143d97760
152968188
hex1c8f368

29946728 has 32 divisors (see below), whose sum is σ = 65741760. Its totient is φ = 12520320.

The previous prime is 29946701. The next prime is 29946733. The reversal of 29946728 is 82764992.

29946728 is nontrivially palindromic in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4226 + ... + 8817.

It is an arithmetic number, because the mean of its divisors is an integer number (2054430).

Almost surely, 229946728 is an apocalyptic number.

29946728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29946728 is an abundant number, since it is smaller than the sum of its proper divisors (35795032).

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

29946728 is a wasteful number, since it uses less digits than its factorization.

29946728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13097 (or 13093 counting only the distinct ones).

The product of its digits is 435456, while the sum is 47.

The square root of 29946728 is about 5472.3603682506. The cubic root of 29946728 is about 310.5392210787.

The spelling of 29946728 in words is "twenty-nine million, nine hundred forty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 1148 2296 13043 26086 52172 91301 104344 182602 365204 534763 730408 1069526 2139052 3743341 4278104 7486682 14973364 29946728