Search a number
-
+
28946304 = 273225127
BaseRepresentation
bin110111001101…
…0111110000000
32000110121212100
41232122332000
524402240204
62512230400
7501016362
oct156327600
960417770
1028946304
1115380872
12983b400
135cc64ba
143bb6d32
15281ba39
hex1b9af80

28946304 has 48 divisors (see below), whose sum is σ = 83299320. Its totient is φ = 9648384.

The previous prime is 28946303. The next prime is 28946327. The reversal of 28946304 is 40364982.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28946303) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 11412 + ... + 13715.

Almost surely, 228946304 is an apocalyptic number.

28946304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28946304 is an abundant number, since it is smaller than the sum of its proper divisors (54353016).

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

28946304 is a wasteful number, since it uses less digits than its factorization.

28946304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25147 (or 25132 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 28946304 is about 5380.1769487629. The cubic root of 28946304 is about 307.0419434323.

The spelling of 28946304 in words is "twenty-eight million, nine hundred forty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 25127 50254 75381 100508 150762 201016 226143 301524 402032 452286 603048 804064 904572 1206096 1608128 1809144 2412192 3216256 3618288 4824384 7236576 9648768 14473152 28946304