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1919433808 = 241961891163
BaseRepresentation
bin111001001101000…
…0011110001010000
311221202202100012001
41302122003301100
512412333340213
6514244043344
765364626635
oct16232036120
94852670161
101919433808
118a551a036
12456993554
13247879366
14142cc618c
15b379b1dd
hex72683c50

1919433808 has 80 divisors (see below), whose sum is σ = 4026974400. Its totient is φ = 883491840.

The previous prime is 1919433797. The next prime is 1919433821. The reversal of 1919433808 is 8083349191.

It is a happy number.

It is a super-2 number, since 2×19194338082 = 7368452286586761728, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1649835 + ... + 1650997.

It is an arithmetic number, because the mean of its divisors is an integer number (50337180).

Almost surely, 21919433808 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 1919433808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013487200).

1919433808 is an abundant number, since it is smaller than the sum of its proper divisors (2107540592).

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

1919433808 is a wasteful number, since it uses less digits than its factorization.

1919433808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 1919433808 is about 43811.3433713234. The cubic root of 1919433808 is about 1242.7708174407.

The spelling of 1919433808 in words is "one billion, nine hundred nineteen million, four hundred thirty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 16 19 38 61 76 89 122 152 178 244 304 356 488 712 976 1159 1163 1424 1691 2318 2326 3382 4636 4652 5429 6764 9272 9304 10858 13528 18544 18608 21716 22097 27056 43432 44194 70943 86864 88388 103151 103507 141886 176776 206302 207014 283772 353552 412604 414028 567544 825208 828056 1135088 1347917 1650416 1656112 1966633 2695834 3933266 5391668 6313927 7866532 10783336 12627854 15733064 21566672 25255708 31466128 50511416 101022832 119964613 239929226 479858452 959716904 1919433808