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2040526000 = 24531975179
BaseRepresentation
bin111100110011111…
…1111010010110000
312021012121110110001
41321213333102300
513134333313000
6534251315344
7101365120252
oct17147772260
95235543401
102040526000
11957907427
1248b44bb54
13266996446
14155007cd2
15be21a46a
hex799ff4b0

2040526000 has 80 divisors (see below), whose sum is σ = 4959995040. Its totient is φ = 811910400.

The previous prime is 2040525979. The next prime is 2040526001. The reversal of 2040526000 is 6250402.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2040526001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391411 + ... + 396589.

It is an arithmetic number, because the mean of its divisors is an integer number (61999938).

Almost surely, 22040526000 is an apocalyptic number.

2040526000 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 2040526000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479997520).

2040526000 is an abundant number, since it is smaller than the sum of its proper divisors (2919469040).

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

2040526000 is a wasteful number, since it uses less digits than its factorization.

2040526000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5399 (or 5383 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2040526000 is about 45172.1817051158. The cubic root of 2040526000 is about 1268.3741361973.

Adding to 2040526000 its reverse (6250402), we get a palindrome (2046776402).

The spelling of 2040526000 in words is "two billion, forty million, five hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 197 200 250 394 400 500 788 985 1000 1576 1970 2000 3152 3940 4925 5179 7880 9850 10358 15760 19700 20716 24625 25895 39400 41432 49250 51790 78800 82864 98500 103580 129475 197000 207160 258950 394000 414320 517900 647375 1020263 1035800 1294750 2040526 2071600 2589500 4081052 5101315 5179000 8162104 10202630 10358000 16324208 20405260 25506575 40810520 51013150 81621040 102026300 127532875 204052600 255065750 408105200 510131500 1020263000 2040526000