Search a number
-
+
28946816 = 27593833
BaseRepresentation
bin110111001101…
…1000110000000
32000110122120022
41232123012000
524402244231
62512233012
7501021023
oct156330600
960418508
1028946816
1115381198
12983b768
135cc67c2
143bb71ba
15281bc7b
hex1b9b180

28946816 has 32 divisors (see below), whose sum is σ = 58660200. Its totient is φ = 14224384.

The previous prime is 28946809. The next prime is 28946849. The reversal of 28946816 is 61864982.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 5636 + ... + 9468.

Almost surely, 228946816 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 28946816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29330100).

28946816 is an abundant number, since it is smaller than the sum of its proper divisors (29713384).

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

28946816 is an equidigital number, since it uses as much as digits as its factorization.

28946816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906 (or 3894 counting only the distinct ones).

The product of its digits is 165888, while the sum is 44.

The square root of 28946816 is about 5380.2245306307. The cubic root of 28946816 is about 307.0437537331.

The spelling of 28946816 in words is "twenty-eight million, nine hundred forty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 472 944 1888 3776 3833 7552 7666 15332 30664 61328 122656 226147 245312 452294 490624 904588 1809176 3618352 7236704 14473408 28946816