Search a number
-
+
4861350 = 2335213277
BaseRepresentation
bin10010100010110110100110
3100010222112000
4102202312212
52221030400
6252110130
756215014
oct22426646
910128460
104861350
11282044a
121765346
131012950
149078b4
15660600
hex4a2da6

4861350 has 96 divisors (see below), whose sum is σ = 14478240. Its totient is φ = 1192320.

The previous prime is 4861313. The next prime is 4861361. The reversal of 4861350 is 531684.

4861350 is a `hidden beast` number, since 48 + 613 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 17412 + ... + 17688.

It is an arithmetic number, because the mean of its divisors is an integer number (150815).

Almost surely, 24861350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4861350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7239120).

4861350 is an abundant number, since it is smaller than the sum of its proper divisors (9616890).

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

4861350 is a wasteful number, since it uses less digits than its factorization.

4861350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 300 counting only the distinct ones).

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

The square root of 4861350 is about 2204.8469334627. The cubic root of 4861350 is about 169.4021676804.

It can be divided in two parts, 486 and 1350, that multiplied together give a square (656100 = 8102).

The spelling of 4861350 in words is "four million, eight hundred sixty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 90 117 130 135 150 195 225 234 270 277 325 351 390 450 554 585 650 675 702 831 975 1170 1350 1385 1662 1755 1950 2493 2770 2925 3510 3601 4155 4986 5850 6925 7202 7479 8310 8775 10803 12465 13850 14958 17550 18005 20775 21606 24930 32409 36010 37395 41550 54015 62325 64818 74790 90025 97227 108030 124650 162045 180050 186975 194454 270075 324090 373950 486135 540150 810225 972270 1620450 2430675 4861350