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1216052832 = 253109251463
BaseRepresentation
bin100100001111011…
…0111111001100000
310010202012212212210
41020132313321200
54442302142312
6320400122120
742064164351
oct11036677140
93122185783
101216052832
11574480545
1229b306340
13164c250b7
14b770bd28
1571b5be3c
hex487b7e60

1216052832 has 96 divisors (see below), whose sum is σ = 3241244160. Its totient is φ = 399168000.

The previous prime is 1216052821. The next prime is 1216052867. The reversal of 1216052832 is 2382506121.

1216052832 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1216052832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2626233 + ... + 2626695.

It is an arithmetic number, because the mean of its divisors is an integer number (33762960).

Almost surely, 21216052832 is an apocalyptic number.

1216052832 is a gapful number since it is divisible by the number (12) 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 1216052832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620622080).

1216052832 is an abundant number, since it is smaller than the sum of its proper divisors (2025191328).

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

1216052832 is a wasteful number, since it uses less digits than its factorization.

1216052832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1216052832 is about 34871.9490708506. The cubic root of 1216052832 is about 1067.3761172689.

Adding to 1216052832 its reverse (2382506121), we get a palindrome (3598558953).

The spelling of 1216052832 in words is "one billion, two hundred sixteen million, fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 251 327 436 463 502 654 753 872 926 1004 1308 1389 1506 1744 1852 2008 2616 2778 3012 3488 3704 4016 5232 5556 6024 7408 8032 10464 11112 12048 14816 22224 24096 27359 44448 50467 54718 82077 100934 109436 116213 151401 164154 201868 218872 232426 302802 328308 348639 403736 437744 464852 605604 656616 697278 807472 875488 929704 1211208 1313232 1394556 1614944 1859408 2422416 2626464 2789112 3718816 4844832 5578224 11156448 12667217 25334434 38001651 50668868 76003302 101337736 152006604 202675472 304013208 405350944 608026416 1216052832