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2542500 = 223254113
BaseRepresentation
bin1001101100101110100100
311210011122200
421230232210
51122330000
6130254500
730416352
oct11545644
94704580
102542500
111487244
12a27430
136b034c
144a27d2
15353500
hex26cba4

2542500 has 90 divisors (see below), whose sum is σ = 8102094. Its totient is φ = 672000.

The previous prime is 2542483. The next prime is 2542511. The reversal of 2542500 is 52452.

2542500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 1806336 + 736164 = 1344^2 + 858^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 5.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 22444 + ... + 22556.

22542500 is an apocalyptic number.

2542500 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 2542500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051047).

2542500 is an abundant number, since it is smaller than the sum of its proper divisors (5559594).

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

2542500 is a wasteful number, since it uses less digits than its factorization.

2542500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2542500 is about 1594.5218719102. The cubic root of 2542500 is about 136.4856483724.

Adding to 2542500 its reverse (52452), we get a palindrome (2594952).

The spelling of 2542500 in words is "two million, five hundred forty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 113 125 150 180 225 226 250 300 339 375 450 452 500 565 625 678 750 900 1017 1125 1130 1250 1356 1500 1695 1875 2034 2250 2260 2500 2825 3390 3750 4068 4500 5085 5625 5650 6780 7500 8475 10170 11250 11300 14125 16950 20340 22500 25425 28250 33900 42375 50850 56500 70625 84750 101700 127125 141250 169500 211875 254250 282500 423750 508500 635625 847500 1271250 2542500