Search a number
-
+
2440053200 = 245213469241
BaseRepresentation
bin1001000101110000…
…0100000111010000
320022001101112201202
42101130010013100
514444123200300
61042042450332
7114316052504
oct22134040720
96261345652
102440053200
11104238a0a2
125812039a8
132cb6a0780
141920c8304
15e4338ad5
hex917041d0

2440053200 has 60 divisors (see below), whose sum is σ = 6313181868. Its totient is φ = 900940800.

The previous prime is 2440053193. The next prime is 2440053227. The reversal of 2440053200 is 23500442.

It can be written as a sum of positive squares in 6 ways, for example, as 6012304 + 2434040896 = 2452^2 + 49336^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 229421 + ... + 239820.

Almost surely, 22440053200 is an apocalyptic number.

2440053200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2440053200 is an abundant number, since it is smaller than the sum of its proper divisors (3873128668).

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

2440053200 is a wasteful number, since it uses less digits than its factorization.

2440053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469272 (or 469261 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2440053200 is about 49396.8946392382. The cubic root of 2440053200 is about 1346.2728836985.

Adding to 2440053200 its reverse (23500442), we get a palindrome (2463553642).

The spelling of 2440053200 in words is "two billion, four hundred forty million, fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 469241 938482 1876964 2346205 3753928 4692410 6100133 7507856 9384820 11731025 12200266 18769640 23462050 24400532 30500665 37539280 46924100 48801064 61001330 93848200 97602128 122002660 152503325 187696400 244005320 305006650 488010640 610013300 1220026600 2440053200