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19830944 = 257223397
BaseRepresentation
bin100101110100…
…1100010100000
31101022111221102
41023221202200
520034042234
61545013532
7330363110
oct113514240
941274842
1019830944
1110215311
1267842a8
1341544b3
1428c3040
151b1ac7e
hex12e98a0

19830944 has 48 divisors (see below), whose sum is σ = 44932608. Its totient is φ = 8439552.

The previous prime is 19830931. The next prime is 19830953. The reversal of 19830944 is 44903891.

It is a super-2 number, since 2×198309442 = 786532679862272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19830898 and 19830907.

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, 49754 + ... + 50150.

It is an arithmetic number, because the mean of its divisors is an integer number (936096).

Almost surely, 219830944 is an apocalyptic number.

19830944 is a gapful number since it is divisible by the number (14) 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 19830944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22466304).

19830944 is an abundant number, since it is smaller than the sum of its proper divisors (25101664).

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

19830944 is a wasteful number, since it uses less digits than its factorization.

19830944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 19830944 is about 4453.1948082248. The cubic root of 19830944 is about 270.6747822341.

The spelling of 19830944 in words is "nineteen million, eight hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 223 224 397 446 794 892 1561 1588 1784 2779 3122 3176 3568 5558 6244 6352 7136 11116 12488 12704 22232 24976 44464 49952 88531 88928 177062 354124 619717 708248 1239434 1416496 2478868 2832992 4957736 9915472 19830944