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2012432352 = 25372427813
BaseRepresentation
bin111011111110011…
…0100011111100000
312012020202011012120
41313330310133200
513110140313402
6531405224240
7100604251500
oct16774643740
95166664176
102012432352
11942a69237
12481b62080
13260c0b098
141513b3a00
15bba1b3bc
hex77f347e0

2012432352 has 72 divisors (see below), whose sum is σ = 6145120296. Its totient is φ = 574979328.

The previous prime is 2012432297. The next prime is 2012432413. The reversal of 2012432352 is 2532342102.

It is a super-3 number, since 3×20124323523 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 209203 + ... + 218610.

It is an arithmetic number, because the mean of its divisors is an integer number (85348893).

Almost surely, 22012432352 is an apocalyptic number.

It is an amenable number.

2012432352 is an abundant number, since it is smaller than the sum of its proper divisors (4132687944).

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

2012432352 is a wasteful number, since it uses less digits than its factorization.

2012432352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427840 (or 427825 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2012432352 is about 44860.1421308493. The cubic root of 2012432352 is about 1262.5262894503.

Adding to 2012432352 its reverse (2532342102), we get a palindrome (4544774454).

It can be divided in two parts, 201243 and 2352, that multiplied together give a square (473323536 = 217562).

The spelling of 2012432352 in words is "two billion, twelve million, four hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 427813 855626 1283439 1711252 2566878 2994691 3422504 5133756 5989382 6845008 8984073 10267512 11978764 13690016 17968146 20535024 20962837 23957528 35936292 41070048 41925674 47915056 62888511 71872584 83851348 95830112 125777022 143745168 167702696 251554044 287490336 335405392 503108088 670810784 1006216176 2012432352