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2492000 = 2553789
BaseRepresentation
bin1001100000011001100000
311200121101022
421200121200
51114221000
6125225012
730116210
oct11403140
94617338
102492000
111452305
12a02168
13693374
1448c240
15343585
hex260660

2492000 has 96 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 844800.

The previous prime is 2491967. The next prime is 2492003. The reversal of 2492000 is 2942.

It is a self number, because there is not a number n which added to its sum of digits gives 2492000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2492003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27956 + ... + 28044.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

22492000 is an apocalyptic number.

2492000 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 2492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

2492000 is an abundant number, since it is smaller than the sum of its proper divisors (4584160).

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

2492000 is an equidigital number, since it uses as much as digits as its factorization.

2492000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2492000 is about 1578.6069808537. The cubic root of 2492000 is about 135.5759571949.

Adding to 2492000 its reverse (2942), we get a palindrome (2494942).

The spelling of 2492000 in words is "two million, four hundred ninety-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 89 100 112 125 140 160 175 178 200 224 250 280 350 356 400 445 500 560 623 700 712 800 875 890 1000 1120 1246 1400 1424 1750 1780 2000 2225 2492 2800 2848 3115 3500 3560 4000 4450 4984 5600 6230 7000 7120 8900 9968 11125 12460 14000 14240 15575 17800 19936 22250 24920 28000 31150 35600 44500 49840 62300 71200 77875 89000 99680 124600 155750 178000 249200 311500 356000 498400 623000 1246000 2492000