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1892641216 = 2643739421
BaseRepresentation
bin111000011001111…
…0110100111000000
311212220100010122211
41300303312213000
512334004004331
6511445511504
764621120264
oct16063664700
94786303584
101892641216
1189138a3a4
12449a12594
1324215825b
1413d5100a4
15b12578b1
hex70cf69c0

1892641216 has 56 divisors (see below), whose sum is σ = 3896110064. Its totient is φ = 911554560.

The previous prime is 1892641189. The next prime is 1892641237. The reversal of 1892641216 is 6121462981.

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, 196186 + ... + 205606.

It is an arithmetic number, because the mean of its divisors is an integer number (69573394).

Almost surely, 21892641216 is an apocalyptic number.

1892641216 is a gapful number since it is divisible by the number (16) 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 1892641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948055032).

1892641216 is an abundant number, since it is smaller than the sum of its proper divisors (2003468848).

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

1892641216 is an equidigital number, since it uses as much as digits as its factorization.

1892641216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9549 (or 9539 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The square root of 1892641216 is about 43504.4965032352. The cubic root of 1892641216 is about 1236.9612586214.

The spelling of 1892641216 in words is "one billion, eight hundred ninety-two million, six hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 43 64 73 86 146 172 292 344 584 688 1168 1376 2336 2752 3139 4672 6278 9421 12556 18842 25112 37684 50224 75368 100448 150736 200896 301472 405103 602944 687733 810206 1375466 1620412 2750932 3240824 5501864 6481648 11003728 12963296 22007456 25926592 29572519 44014912 59145038 118290076 236580152 473160304 946320608 1892641216