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1082986432 = 261113111743
BaseRepresentation
bin100000010001101…
…0000111111000000
32210110211102002121
41000203100333000
54204221031212
6255244054024
735560142563
oct10043207700
92713742077
101082986432
11506354810
12262834314
131434a4998
14a3b904da
1565124d07
hex408d0fc0

1082986432 has 56 divisors (see below), whose sum is σ = 2362516992. Its totient is φ = 488467200.

The previous prime is 1082986427. The next prime is 1082986439. The reversal of 1082986432 is 2346892801.

It is a super-2 number, since 2×10829864322 = 2345719223792181248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082986439) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 86353 + ... + 98095.

Almost surely, 21082986432 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 1082986432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181258496).

1082986432 is an abundant number, since it is smaller than the sum of its proper divisors (1279530560).

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

1082986432 is a wasteful number, since it uses less digits than its factorization.

1082986432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11897 (or 11887 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 1082986432 is about 32908.7591987301. The cubic root of 1082986432 is about 1026.9303878280.

The spelling of 1082986432 in words is "one billion, eighty-two million, nine hundred eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 131 176 262 352 524 704 1048 1441 2096 2882 4192 5764 8384 11528 11743 23056 23486 46112 46972 92224 93944 129173 187888 258346 375776 516692 751552 1033384 1538333 2066768 3076666 4133536 6153332 8267072 12306664 16921663 24613328 33843326 49226656 67686652 98453312 135373304 270746608 541493216 1082986432