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2041542432 = 25327519439
BaseRepresentation
bin111100110101111…
…0111011100100000
312021021112002201200
41321223313130200
513140113324212
6534325201200
7101406552516
oct17153673440
95237462650
102041542432
11958441056
1248b860200
13266c60c97
141551d04b6
15be36b6dc
hex79af7720

2041542432 has 72 divisors (see below), whose sum is σ = 5813982720. Its totient is φ = 679536000.

The previous prime is 2041542407. The next prime is 2041542443. The reversal of 2041542432 is 2342451402.

2041542432 is a `hidden beast` number, since 2 + 0 + 415 + 4 + 243 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 2041542396 and 2041542405.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211569 + ... + 221007.

It is an arithmetic number, because the mean of its divisors is an integer number (80749760).

Almost surely, 22041542432 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 2041542432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906991360).

2041542432 is an abundant number, since it is smaller than the sum of its proper divisors (3772440288).

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

2041542432 is a wasteful number, since it uses less digits than its factorization.

2041542432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10206 (or 10195 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2041542432 is about 45183.4309454251. The cubic root of 2041542432 is about 1268.5847031551.

Adding to 2041542432 its reverse (2342451402), we get a palindrome (4383993834).

The spelling of 2041542432 in words is "two billion, forty-one million, five hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 751 1502 2253 3004 4506 6008 6759 9012 9439 12016 13518 18024 18878 24032 27036 28317 36048 37756 54072 56634 72096 75512 84951 108144 113268 151024 169902 216288 226536 302048 339804 453072 679608 906144 1359216 2718432 7088689 14177378 21266067 28354756 42532134 56709512 63798201 85064268 113419024 127596402 170128536 226838048 255192804 340257072 510385608 680514144 1020771216 2041542432