Search a number
-
+
2489200 = 245272127
BaseRepresentation
bin1001011111101101110000
311200110112121
421133231300
51114123300
6125204024
730105100
oct11375560
94613477
102489200
11145019a
12a00614
13691ccc
1448b200
1534281a
hex25fb70

2489200 has 90 divisors (see below), whose sum is σ = 7011456. Its totient is φ = 846720.

The previous prime is 2489197. The next prime is 2489213. The reversal of 2489200 is 29842.

It is a super-2 number, since 2×24892002 = 12392233280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19537 + ... + 19663.

22489200 is an apocalyptic number.

2489200 is a gapful number since it is divisible by the number (20) 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 2489200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505728).

2489200 is an abundant number, since it is smaller than the sum of its proper divisors (4522256).

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

2489200 is a wasteful number, since it uses less digits than its factorization.

2489200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2489200 is about 1577.7198737419. The cubic root of 2489200 is about 135.5251606531.

The spelling of 2489200 in words is "two million, four hundred eighty-nine thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 127 140 175 196 200 245 254 280 350 392 400 490 508 560 635 700 784 889 980 1016 1225 1270 1400 1778 1960 2032 2450 2540 2800 3175 3556 3920 4445 4900 5080 6223 6350 7112 8890 9800 10160 12446 12700 14224 17780 19600 22225 24892 25400 31115 35560 44450 49784 50800 62230 71120 88900 99568 124460 155575 177800 248920 311150 355600 497840 622300 1244600 2489200