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2498000 = 24531249
BaseRepresentation
bin1001100001110111010000
311200220121112
421201313100
51114414000
6125312452
730142541
oct11416720
94626545
102498000
11145686a
12a05728
1369600b
144904c8
15345235
hex261dd0

2498000 has 40 divisors (see below), whose sum is σ = 6045000. Its totient is φ = 998400.

The previous prime is 2497991. The next prime is 2498009. The reversal of 2498000 is 8942.

It is an interprime number because it is at equal distance from previous prime (2497991) and next prime (2498009).

It can be written as a sum of positive squares in 4 ways, for example, as 163216 + 2334784 = 404^2 + 1528^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2498009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1376 + ... + 2624.

It is an arithmetic number, because the mean of its divisors is an integer number (151125).

22498000 is an apocalyptic number.

2498000 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 2498000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022500).

2498000 is an abundant number, since it is smaller than the sum of its proper divisors (3547000).

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

2498000 is a wasteful number, since it uses less digits than its factorization.

2498000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2498000 is about 1580.5062480104. The cubic root of 2498000 is about 135.6846789393.

The spelling of 2498000 in words is "two million, four hundred ninety-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1249 2000 2498 4996 6245 9992 12490 19984 24980 31225 49960 62450 99920 124900 156125 249800 312250 499600 624500 1249000 2498000