Search a number
-
+
4249200 = 243523541
BaseRepresentation
bin10000001101011001110000
321222212210210
4100031121300
52041433300
6231024120
751055224
oct20153160
97885723
104249200
11244253a
12150b040
13b5a127
147c8784
1558e050
hex40d670

4249200 has 60 divisors (see below), whose sum is σ = 13615448. Its totient is φ = 1132800.

The previous prime is 4249163. The next prime is 4249211. The reversal of 4249200 is 29424.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 571 + ... + 2970.

Almost surely, 24249200 is an apocalyptic number.

4249200 is a gapful number since it is divisible by the number (40) 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 4249200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6807724).

4249200 is an abundant number, since it is smaller than the sum of its proper divisors (9366248).

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

4249200 is a wasteful number, since it uses less digits than its factorization.

4249200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4249200 is about 2061.3587751772. The cubic root of 4249200 is about 161.9704259381.

The spelling of 4249200 in words is "four million, two hundred forty-nine thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 3541 7082 10623 14164 17705 21246 28328 35410 42492 53115 56656 70820 84984 88525 106230 141640 169968 177050 212460 265575 283280 354100 424920 531150 708200 849840 1062300 1416400 2124600 4249200