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4284900 = 223452232
BaseRepresentation
bin10000010110000111100100
322001200210000
4100112013210
52044104100
6231501300
751264264
oct20260744
98050700
104284900
112467344
121527830
13b70459
147d77a4
15599900
hex4161e4

4284900 has 135 divisors (see below), whose sum is σ = 14520121. Its totient is φ = 1092960.

The previous prime is 4284893. The next prime is 4284919. The reversal of 4284900 is 94824.

The square root of 4284900 is 2070.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1542564 + 2742336 = 1242^2 + 1656^2 .

It is a tau number, because it is divible by the number of its divisors (135).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 186289 + ... + 186311.

Almost surely, 24284900 is an apocalyptic number.

4284900 is the 2070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4284900

4284900 is an abundant number, since it is smaller than the sum of its proper divisors (10235221).

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

4284900 is a wasteful number, since it uses less digits than its factorization.

4284900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 4284900 is about 162.4227640847.

Multiplying 4284900 by its product of nonzero digits (2304), we get a square (9872409600 = 993602).

It can be divided in two parts, 4284 and 900, that added together give a square (5184 = 722).

The spelling of 4284900 in words is "four million, two hundred eighty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 27 30 36 45 46 50 54 60 69 75 81 90 92 100 108 115 135 138 150 162 180 207 225 230 270 276 300 324 345 405 414 450 460 529 540 575 621 675 690 810 828 900 1035 1058 1150 1242 1350 1380 1587 1620 1725 1863 2025 2070 2116 2300 2484 2645 2700 3105 3174 3450 3726 4050 4140 4761 5175 5290 6210 6348 6900 7452 7935 8100 9315 9522 10350 10580 12420 13225 14283 15525 15870 18630 19044 20700 23805 26450 28566 31050 31740 37260 39675 42849 46575 47610 52900 57132 62100 71415 79350 85698 93150 95220 119025 142830 158700 171396 186300 214245 238050 285660 357075 428490 476100 714150 856980 1071225 1428300 2142450 4284900