Search a number
-
+
19849472 = 28174561
BaseRepresentation
bin100101110111…
…0000100000000
31101100110100122
41023232010000
520040140342
61545235412
7330501116
oct113560400
941313318
1019849472
1110228225
126792b68
13415ca66
1428c9ab6
151b214d2
hex12ee100

19849472 has 36 divisors (see below), whose sum is σ = 41961276. Its totient is φ = 9338880.

The previous prime is 19849451. The next prime is 19849477. The reversal of 19849472 is 27494891.

It can be written as a sum of positive squares in 2 ways, for example, as 11182336 + 8667136 = 3344^2 + 2944^2 .

It is not an unprimeable number, because it can be changed into a prime (19849477) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2072 + ... + 6632.

It is an arithmetic number, because the mean of its divisors is an integer number (1165591).

Almost surely, 219849472 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 19849472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20980638).

19849472 is an abundant number, since it is smaller than the sum of its proper divisors (22111804).

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

19849472 is an equidigital number, since it uses as much as digits as its factorization.

19849472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4594 (or 4580 counting only the distinct ones).

The product of its digits is 145152, while the sum is 44.

The square root of 19849472 is about 4455.2746267767. The cubic root of 19849472 is about 270.7590529126.

The spelling of 19849472 in words is "nineteen million, eight hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4352 4561 9122 18244 36488 72976 77537 145952 155074 291904 310148 583808 620296 1167616 1240592 2481184 4962368 9924736 19849472