Search a number
-
+
19042816 = 29132861
BaseRepresentation
bin100100010100…
…1001000000000
31022211110211111
41020221020000
514333332231
61520053104
7320601262
oct110511000
938743744
1019042816
11a827171
126464194
133c39850
142759b32
151a124b1
hex1229200

19042816 has 40 divisors (see below), whose sum is σ = 40989564. Its totient is φ = 8785920.

The previous prime is 19042813. The next prime is 19042817. The reversal of 19042816 is 61824091.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18524416 + 518400 = 4304^2 + 720^2 .

It is not an unprimeable number, because it can be changed into a prime (19042811) 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, 5226 + ... + 8086.

Almost surely, 219042816 is an apocalyptic number.

19042816 is a gapful number since it is divisible by the number (16) 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 19042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20494782).

19042816 is an abundant number, since it is smaller than the sum of its proper divisors (21946748).

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

19042816 is an equidigital number, since it uses as much as digits as its factorization.

19042816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 19042816 is about 4363.8075117952. The cubic root of 19042816 is about 267.0404535955.

The spelling of 19042816 in words is "nineteen million, forty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1664 2861 3328 5722 6656 11444 22888 37193 45776 74386 91552 148772 183104 297544 366208 595088 732416 1190176 1464832 2380352 4760704 9521408 19042816