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19828844 = 2277389109
BaseRepresentation
bin100101110100…
…1000001101100
31101022102001122
41023221001230
520034010334
61545000112
7330354020
oct113510154
941272048
1019828844
1110213782
126783038
134153559
1428c2380
151b1a32e
hex12e906c

19828844 has 48 divisors (see below), whose sum is σ = 41025600. Its totient is φ = 8211456.

The previous prime is 19828819. The next prime is 19828859. The reversal of 19828844 is 44882891.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 19828795 and 19828804.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 181862 + ... + 181970.

It is an arithmetic number, because the mean of its divisors is an integer number (854700).

Almost surely, 219828844 is an apocalyptic number.

19828844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

19828844 is an abundant number, since it is smaller than the sum of its proper divisors (21196756).

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

19828844 is a wasteful number, since it uses less digits than its factorization.

19828844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 280 counting only the distinct ones).

The product of its digits is 147456, while the sum is 44.

The square root of 19828844 is about 4452.9590162048. The cubic root of 19828844 is about 270.6652275182.

The spelling of 19828844 in words is "nineteen million, eight hundred twenty-eight thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 28 73 89 109 146 178 218 292 356 436 511 623 763 1022 1246 1526 2044 2492 3052 6497 7957 9701 12994 15914 19402 25988 31828 38804 45479 55699 67907 90958 111398 135814 181916 222796 271628 708173 1416346 2832692 4957211 9914422 19828844