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19950048 = 2532531307
BaseRepresentation
bin100110000011…
…0100111100000
31101112120022200
41030012213200
520101400143
61551333200
7331400256
oct114064740
941476280
1019950048
1110296848
126821200
134196781
1429145d6
151b411d3
hex13069e0

19950048 has 72 divisors (see below), whose sum is σ = 57847608. Its totient is φ = 6519552.

The previous prime is 19950041. The next prime is 19950079. The reversal of 19950048 is 84005991.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19949994 and 19950021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19950041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14611 + ... + 15917.

It is an arithmetic number, because the mean of its divisors is an integer number (803439).

Almost surely, 219950048 is an apocalyptic number.

19950048 is a gapful number since it is divisible by the number (18) 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 19950048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28923804).

19950048 is an abundant number, since it is smaller than the sum of its proper divisors (37897560).

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

19950048 is a wasteful number, since it uses less digits than its factorization.

19950048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 19950048 is about 4466.5476601062. The cubic root of 19950048 is about 271.2155889439.

The spelling of 19950048 in words is "nineteen million, nine hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1307 1696 1908 2544 2614 3816 3921 5088 5228 7632 7842 10456 11763 15264 15684 20912 23526 31368 41824 47052 62736 69271 94104 125472 138542 188208 207813 277084 376416 415626 554168 623439 831252 1108336 1246878 1662504 2216672 2493756 3325008 4987512 6650016 9975024 19950048