Search a number
-
+
28492600 = 23521091307
BaseRepresentation
bin110110010110…
…0001100111000
31222121120111111
41230230030320
524243230400
62454410104
7464116543
oct154541470
958546444
1028492600
11150a0a04
129660934
135b97b36
143ad985a
15277c3ba
hex1b2c338

28492600 has 48 divisors (see below), whose sum is σ = 66904200. Its totient is φ = 11283840.

The previous prime is 28492591. The next prime is 28492603. The reversal of 28492600 is 629482.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28492603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21147 + ... + 22453.

Almost surely, 228492600 is an apocalyptic number.

28492600 is a gapful number since it is divisible by the number (20) 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 28492600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33452100).

28492600 is an abundant number, since it is smaller than the sum of its proper divisors (38411600).

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

28492600 is a wasteful number, since it uses less digits than its factorization.

28492600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 28492600 is about 5337.8460075203. The cubic root of 28492600 is about 305.4292978213.

It can be divided in two parts, 28492 and 600, that added together give a palindrome (29092).

The spelling of 28492600 in words is "twenty-eight million, four hundred ninety-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 872 1090 1307 2180 2614 2725 4360 5228 5450 6535 10456 10900 13070 21800 26140 32675 52280 65350 130700 142463 261400 284926 569852 712315 1139704 1424630 2849260 3561575 5698520 7123150 14246300 28492600