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1931882112 = 27321676981
BaseRepresentation
bin111001100100110…
…0010111010000000
311222122011210001100
41303021202322000
512424030211422
6515410534400
765605504236
oct16311427200
94878153040
101931882112
11901551696
1245ab97400
1324a317414
14144806956
15b49097ac
hex73262e80

1931882112 has 48 divisors (see below), whose sum is σ = 5559195330. Its totient is φ = 643960320.

The previous prime is 1931882081. The next prime is 1931882129. The reversal of 1931882112 is 2112881391.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1494904896 + 436977216 = 38664^2 + 20904^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 837339 + ... + 839642.

Almost surely, 21931882112 is an apocalyptic number.

1931882112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1931882112 is an abundant number, since it is smaller than the sum of its proper divisors (3627313218).

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

1931882112 is a wasteful number, since it uses less digits than its factorization.

1931882112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677001 (or 1676986 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 1931882112 is about 43953.1809087807. The cubic root of 1931882112 is about 1245.4516540056.

The spelling of 1931882112 in words is "one billion, nine hundred thirty-one million, eight hundred eighty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1676981 3353962 5030943 6707924 10061886 13415848 15092829 20123772 26831696 30185658 40247544 53663392 60371316 80495088 107326784 120742632 160990176 214653568 241485264 321980352 482970528 643960704 965941056 1931882112