Search a number
-
+
4994400 = 253522081
BaseRepresentation
bin10011000011010101100000
3100101202000210
4103003111200
52234310100
6255014120
760310635
oct23032540
910352023
104994400
112901404
12180a340
13105b388
1494018c
15689c50
hex4c3560

4994400 has 72 divisors (see below), whose sum is σ = 16264584. Its totient is φ = 1331200.

The previous prime is 4994393. The next prime is 4994401. The reversal of 4994400 is 44994.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4994401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1360 + ... + 3440.

It is an arithmetic number, because the mean of its divisors is an integer number (225897).

Almost surely, 24994400 is an apocalyptic number.

4994400 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 4994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8132292).

4994400 is an abundant number, since it is smaller than the sum of its proper divisors (11270184).

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

4994400 is a wasteful number, since it uses less digits than its factorization.

4994400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 4994400 is about 2234.8154286204. The cubic root of 4994400 is about 170.9337317176.

It can be divided in two parts, 49 and 94400, that added together give a palindrome (94449).

The spelling of 4994400 in words is "four million, nine hundred ninety-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2081 2400 4162 6243 8324 10405 12486 16648 20810 24972 31215 33296 41620 49944 52025 62430 66592 83240 99888 104050 124860 156075 166480 199776 208100 249720 312150 332960 416200 499440 624300 832400 998880 1248600 1664800 2497200 4994400