Search a number
-
+
4986288 = 2432311117
BaseRepresentation
bin10011000001010110110000
3100101022220100
4103001112300
52234030123
6254512400
760245166
oct23012660
910338810
104986288
1128a62aa
121805700
131057788
1493b236
15687643
hex4c15b0

4986288 has 60 divisors (see below), whose sum is σ = 14417728. Its totient is φ = 1607040.

The previous prime is 4986283. The next prime is 4986299. The reversal of 4986288 is 8826894.

It is a happy number.

It is a Cunningham number, because it is equal to 22332-1.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4986281) 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, 3906 + ... + 5022.

Almost surely, 24986288 is an apocalyptic number.

4986288 is a gapful number since it is divisible by the number (48) 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 4986288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7208864).

4986288 is an abundant number, since it is smaller than the sum of its proper divisors (9431440).

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

4986288 is a wasteful number, since it uses less digits than its factorization.

4986288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1153 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 4986288 is about 2232.9997760860. Note that the first 3 decimals coincide. The cubic root of 4986288 is about 170.8411369560.

Subtracting 4986288 from its reverse (8826894), we obtain a triangular number (3840606 = T2771).

It can be divided in two parts, 498 and 6288, that added together give a triangular number (6786 = T116).

The spelling of 4986288 in words is "four million, nine hundred eighty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1117 1488 2232 2234 3351 4464 4468 6702 8936 10053 13404 17872 20106 26808 34627 40212 53616 69254 80424 103881 138508 160848 207762 277016 311643 415524 554032 623286 831048 1246572 1662096 2493144 4986288