Search a number
-
+
19290912 = 253375431
BaseRepresentation
bin100100110010…
…1101100100000
31100022002011020
41021211230200
514414302122
61525245440
7322653504
oct111455440
940262136
1019290912
11a986603
126563880
133cc5754
1427c2304
151a60c5c
hex1265b20

19290912 has 48 divisors (see below), whose sum is σ = 52016832. Its totient is φ = 6255360.

The previous prime is 19290889. The next prime is 19290917. The reversal of 19290912 is 21909291.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19290917) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 837 + ... + 6267.

It is an arithmetic number, because the mean of its divisors is an integer number (1083684).

Almost surely, 219290912 is an apocalyptic number.

19290912 is a gapful number since it is divisible by the number (12) 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 19290912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26008416).

19290912 is an abundant number, since it is smaller than the sum of its proper divisors (32725920).

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

19290912 is a wasteful number, since it uses less digits than its factorization.

19290912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5481 (or 5473 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 19290912 is about 4392.1420742048. The cubic root of 19290912 is about 268.1951500585.

It can be divided in two parts, 19290 and 912, that added together give a palindrome (20202).

The spelling of 19290912 in words is "nineteen million, two hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 5431 10862 16293 21724 32586 43448 65172 86896 130344 173792 200947 260688 401894 521376 602841 803788 1205682 1607576 2411364 3215152 4822728 6430304 9645456 19290912