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4973800 = 2352131913
BaseRepresentation
bin10010111110010011101000
3100100200202211
4102332103220
52233130200
6254334504
760163606
oct22762350
910320684
104973800
112897987
1217ba434
131051ba0
14936876
15683aba
hex4be4e8

4973800 has 48 divisors (see below), whose sum is σ = 12460140. Its totient is φ = 1835520.

The previous prime is 4973791. The next prime is 4973807. The reversal of 4973800 is 83794.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1855044 + 3118756 = 1362^2 + 1766^2 .

It is not an unprimeable number, because it can be changed into a prime (4973807) 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, 1644 + ... + 3556.

Almost surely, 24973800 is an apocalyptic number.

4973800 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 4973800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6230070).

4973800 is an abundant number, since it is smaller than the sum of its proper divisors (7486340).

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

4973800 is a wasteful number, since it uses less digits than its factorization.

4973800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 4973800 is about 2230.2017845926. The cubic root of 4973800 is about 170.6983956579.

The spelling of 4973800 in words is "four million, nine hundred seventy-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 1913 2600 3826 7652 9565 15304 19130 24869 38260 47825 49738 76520 95650 99476 124345 191300 198952 248690 382600 497380 621725 994760 1243450 2486900 4973800