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4864500 = 2232532347
BaseRepresentation
bin10010100011100111110100
3100011010211200
4102203213310
52221131000
6252132500
756230134
oct22434764
910133750
104864500
112822853
121767130
131014204
14908ac4
15661500
hex4a39f4

4864500 has 144 divisors (see below), whose sum is σ = 16353792. Its totient is φ = 1214400.

The previous prime is 4864493. The next prime is 4864511. The reversal of 4864500 is 54684.

4864500 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103477 + ... + 103523.

It is an arithmetic number, because the mean of its divisors is an integer number (113568).

Almost surely, 24864500 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 4864500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8176896).

4864500 is an abundant number, since it is smaller than the sum of its proper divisors (11489292).

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

4864500 is a wasteful number, since it uses less digits than its factorization.

4864500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4864500 is about 2205.5611530855. The cubic root of 4864500 is about 169.4387488505.

The spelling of 4864500 in words is "four million, eight hundred sixty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 30 36 45 46 47 50 60 69 75 90 92 94 100 115 125 138 141 150 180 188 207 225 230 235 250 276 282 300 345 375 414 423 450 460 470 500 564 575 690 705 750 828 846 900 940 1035 1081 1125 1150 1175 1380 1410 1500 1692 1725 2070 2115 2162 2250 2300 2350 2820 2875 3243 3450 3525 4140 4230 4324 4500 4700 5175 5405 5750 5875 6486 6900 7050 8460 8625 9729 10350 10575 10810 11500 11750 12972 14100 16215 17250 17625 19458 20700 21150 21620 23500 25875 27025 32430 34500 35250 38916 42300 48645 51750 52875 54050 64860 70500 81075 97290 103500 105750 108100 135125 162150 194580 211500 243225 270250 324300 405375 486450 540500 810750 972900 1216125 1621500 2432250 4864500