Search a number
-
+
19472490 = 2325232409
BaseRepresentation
bin100101001001…
…0000001101010
31100122022020100
41022102001222
514441104430
61533210230
7324341052
oct112220152
940568210
1019472490
11aa9aa74
126630976
13405a2ab
14282c562
151a99960
hex129206a

19472490 has 72 divisors (see below), whose sum is σ = 53054820. Its totient is φ = 4954752.

The previous prime is 19472489. The next prime is 19472491. The reversal of 19472490 is 9427491.

It is an interprime number because it is at equal distance from previous prime (19472489) and next prime (19472491).

It can be written as a sum of positive squares in 2 ways, for example, as 18896409 + 576081 = 4347^2 + 759^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (19472491) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47406 + ... + 47814.

Almost surely, 219472490 is an apocalyptic number.

19472490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19472490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26527410).

19472490 is an abundant number, since it is smaller than the sum of its proper divisors (33582330).

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

19472490 is a wasteful number, since it uses less digits than its factorization.

19472490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 19472490 is about 4412.7644396682. The cubic root of 19472490 is about 269.0339965233.

The spelling of 19472490 in words is "nineteen million, four hundred seventy-two thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 409 414 529 690 818 1035 1058 1227 1587 2045 2070 2454 2645 3174 3681 4090 4761 5290 6135 7362 7935 9407 9522 12270 15870 18405 18814 23805 28221 36810 47035 47610 56442 84663 94070 141105 169326 216361 282210 423315 432722 649083 846630 1081805 1298166 1947249 2163610 3245415 3894498 6490830 9736245 19472490