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19992644 = 227312743
BaseRepresentation
bin100110001000…
…1000001000100
31101121201202022
41030101001010
520104231034
61552302312
7331635410
oct114210104
941551668
1019992644
1110315851
126841998
1341acc89
142925d40
151b4db2e
hex1311044

19992644 has 36 divisors (see below), whose sum is σ = 41372352. Its totient is φ = 8280720.

The previous prime is 19992631. The next prime is 19992649. The reversal of 19992644 is 44629991.

It is a super-2 number, since 2×199926442 = 799411628221472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19992595 and 19992604.

It is not an unprimeable number, because it can be changed into a prime (19992649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26537 + ... + 27279.

It is an arithmetic number, because the mean of its divisors is an integer number (1149232).

Almost surely, 219992644 is an apocalyptic number.

19992644 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 19992644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20686176).

19992644 is an abundant number, since it is smaller than the sum of its proper divisors (21379708).

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

19992644 is a wasteful number, since it uses less digits than its factorization.

19992644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 783 counting only the distinct ones).

The product of its digits is 139968, while the sum is 44.

The square root of 19992644 is about 4471.3134535615. The cubic root of 19992644 is about 271.4084788187.

The spelling of 19992644 in words is "nineteen million, nine hundred ninety-two thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 743 868 961 1486 1922 2972 3844 5201 6727 10402 13454 20804 23033 26908 46066 92132 161231 322462 644924 714023 1428046 2856092 4998161 9996322 19992644