Search a number
-
+
2440405504 = 2938912253
BaseRepresentation
bin1001000101110101…
…1010001000000000
320022002001110000001
42101131122020000
514444220434004
61042054205344
7114322050565
oct22135321000
96262043001
102440405504
1110425aa859
12581353854
132cb794c34
1419217a86c
15e43a81a4
hex9175a200

2440405504 has 40 divisors (see below), whose sum is σ = 4888978380. Its totient is φ = 1216966656.

The previous prime is 2440405483. The next prime is 2440405537. The reversal of 2440405504 is 4055040442.

It can be written as a sum of positive squares in 2 ways, for example, as 2389254400 + 51151104 = 48880^2 + 7152^2 .

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 3 ways as a sum of consecutive naturals, for example, 193042 + ... + 205294.

Almost surely, 22440405504 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 2440405504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444489190).

2440405504 is an abundant number, since it is smaller than the sum of its proper divisors (2448572876).

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

2440405504 is an equidigital number, since it uses as much as digits as its factorization.

2440405504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12660 (or 12644 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

The square root of 2440405504 is about 49400.4605646547. The cubic root of 2440405504 is about 1346.3376738838.

Adding to 2440405504 its reverse (4055040442), we get a palindrome (6495445946).

The spelling of 2440405504 in words is "two billion, four hundred forty million, four hundred five thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 389 512 778 1556 3112 6224 12253 12448 24506 24896 49012 49792 98024 99584 196048 199168 392096 784192 1568384 3136768 4766417 6273536 9532834 19065668 38131336 76262672 152525344 305050688 610101376 1220202752 2440405504