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5186304 = 28322251
BaseRepresentation
bin10011110010001100000000
3100202111021100
4103302030000
52311430204
6303054400
762040264
oct23621400
910674240
105186304
112a22602
1218a1400
1310c7826
149900a4
156c6a39
hex4f2300

5186304 has 54 divisors (see below), whose sum is σ = 14960036. Its totient is φ = 1728000.

The previous prime is 5186303. The next prime is 5186317. The reversal of 5186304 is 4036815.

5186304 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5186303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1179 + ... + 3429.

Almost surely, 25186304 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 5186304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7480018).

5186304 is an abundant number, since it is smaller than the sum of its proper divisors (9773732).

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

5186304 is a wasteful number, since it uses less digits than its factorization.

5186304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5186304 is about 2277.3458235411. The cubic root of 5186304 is about 173.0955846317.

The spelling of 5186304 in words is "five million, one hundred eighty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2251 2304 4502 6753 9004 13506 18008 20259 27012 36016 40518 54024 72032 81036 108048 144064 162072 216096 288128 324144 432192 576256 648288 864384 1296576 1728768 2593152 5186304