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19849956 = 2237673527
BaseRepresentation
bin100101110111…
…0001011100100
31101100111000120
41023232023210
520040144311
61545241540
7330502410
oct113561344
941314016
1019849956
1110228625
1267932b0
134160049
1428c9d40
151b21706
hex12ee2e4

19849956 has 48 divisors (see below), whose sum is σ = 53738496. Its totient is φ = 5585184.

The previous prime is 19849939. The next prime is 19849957. The reversal of 19849956 is 65994891.

It is a junction number, because it is equal to n+sod(n) for n = 19849899 and 19849908.

It is not an unprimeable number, because it can be changed into a prime (19849957) by changing a digit.

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, 3865 + ... + 7391.

It is an arithmetic number, because the mean of its divisors is an integer number (1119552).

Almost surely, 219849956 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 19849956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26869248).

19849956 is an abundant number, since it is smaller than the sum of its proper divisors (33888540).

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

19849956 is a wasteful number, since it uses less digits than its factorization.

19849956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 3606 counting only the distinct ones).

The product of its digits is 699840, while the sum is 51.

The square root of 19849956 is about 4455.3289440848. The cubic root of 19849956 is about 270.7612535810.

The spelling of 19849956 in words is "nineteen million, eight hundred forty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 804 938 1407 1876 2814 3527 5628 7054 10581 14108 21162 24689 42324 49378 74067 98756 148134 236309 296268 472618 708927 945236 1417854 1654163 2835708 3308326 4962489 6616652 9924978 19849956