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2032441312 = 251119329917
BaseRepresentation
bin111100100100100…
…1001011111100000
312020122101201100011
41321021021133200
513130301110222
6533402134304
7101236315606
oct17111113740
95218351304
102032441312
11953295270
124887b1394
132650c55c5
14153d01876
15bd66ec77
hex792497e0

2032441312 has 48 divisors (see below), whose sum is σ = 4387893552. Its totient is φ = 919019520.

The previous prime is 2032441277. The next prime is 2032441331. The reversal of 2032441312 is 2131442302.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52978 + ... + 82894.

It is an arithmetic number, because the mean of its divisors is an integer number (91414449).

Almost surely, 22032441312 is an apocalyptic number.

2032441312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032441312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193946776).

2032441312 is an abundant number, since it is smaller than the sum of its proper divisors (2355452240).

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

2032441312 is a wasteful number, since it uses less digits than its factorization.

2032441312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30131 (or 30123 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2032441312 is about 45082.6054260399. The cubic root of 2032441312 is about 1266.6967938664.

Adding to 2032441312 its reverse (2131442302), we get a palindrome (4163883614).

It can be divided in two parts, 2032 and 441312, that added together give a palindrome (443344).

The spelling of 2032441312 in words is "two billion, thirty-two million, four hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 193 352 386 772 1544 2123 3088 4246 6176 8492 16984 29917 33968 59834 67936 119668 239336 329087 478672 658174 957344 1316348 2632696 5265392 5773981 10530784 11547962 23095924 46191848 63513791 92383696 127027582 184767392 254055164 508110328 1016220656 2032441312