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2041988436 = 2232414613001
BaseRepresentation
bin111100110110110…
…0100010101010100
312021022100202112100
41321231210111110
513140222112221
6534342522100
7101413421025
oct17155442524
95238322470
102041988436
11958716154
1248ba36330
13267088ca7
141552a8c4c
15be408926
hex79b64554

2041988436 has 72 divisors (see below), whose sum is σ = 5300823528. Its totient is φ = 662400000.

The previous prime is 2041988411. The next prime is 2041988437. The reversal of 2041988436 is 6348891402.

It is a happy number.

2041988436 is a `hidden beast` number, since 20 + 4 + 198 + 8 + 436 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2924100 + 2039064336 = 1710^2 + 45156^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2041988391 and 2041988400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041988437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 678936 + ... + 681936.

It is an arithmetic number, because the mean of its divisors is an integer number (73622549).

Almost surely, 22041988436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041988436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650411764).

2041988436 is an abundant number, since it is smaller than the sum of its proper divisors (3258835092).

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

2041988436 is a wasteful number, since it uses less digits than its factorization.

2041988436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3513 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2041988436 is about 45188.3661576738. The cubic root of 2041988436 is about 1268.6770765564.

The spelling of 2041988436 in words is "two billion, forty-one million, nine hundred eighty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 461 492 738 922 1383 1476 1844 2766 3001 4149 5532 6002 8298 9003 12004 16596 18006 18901 27009 36012 37802 54018 56703 75604 108036 113406 123041 170109 226812 246082 340218 369123 492164 680436 738246 1107369 1383461 1476492 2214738 2766922 4150383 4429476 5533844 8300766 12451149 16601532 24902298 49804596 56721901 113443802 170165703 226887604 340331406 510497109 680662812 1020994218 2041988436