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4244100 = 2235274347
BaseRepresentation
bin10000001100001010000100
321222121210220
4100030022010
52041302400
6230544340
751034320
oct20141204
97877726
104244100
112439723
1215080b0
13b57a03
147c6980
1558c7a0
hex40c284

4244100 has 144 divisors (see below), whose sum is σ = 14665728. Its totient is φ = 927360.

The previous prime is 4244099. The next prime is 4244129. The reversal of 4244100 is 14424.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4244100.

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, 90277 + ... + 90323.

Almost surely, 24244100 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 4244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7332864).

4244100 is an abundant number, since it is smaller than the sum of its proper divisors (10421628).

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

4244100 is a wasteful number, since it uses less digits than its factorization.

4244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4244100 is about 2060.1213556487. The cubic root of 4244100 is about 161.9055996277.

Adding to 4244100 its reverse (14424), we get a palindrome (4258524).

The spelling of 4244100 in words is "four million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 43 47 50 60 70 75 84 86 94 100 105 129 140 141 150 172 175 188 210 215 235 258 282 300 301 329 350 420 430 470 516 525 564 602 645 658 700 705 860 903 940 987 1050 1075 1175 1204 1290 1316 1410 1505 1645 1806 1974 2021 2100 2150 2350 2580 2820 3010 3225 3290 3525 3612 3948 4042 4300 4515 4700 4935 6020 6063 6450 6580 7050 7525 8084 8225 9030 9870 10105 12126 12900 14100 14147 15050 16450 18060 19740 20210 22575 24252 24675 28294 30100 30315 32900 40420 42441 45150 49350 50525 56588 60630 70735 84882 90300 98700 101050 121260 141470 151575 169764 202100 212205 282940 303150 353675 424410 606300 707350 848820 1061025 1414700 2122050 4244100