Search a number
-
+
19209888 = 253266701
BaseRepresentation
bin100100101000…
…1111010100000
31100010222000100
41021101322200
514404204023
61523422400
7322165335
oct111217240
940128010
1019209888
11a930745
126524a00
133c978c9
1427a098c
151a46c43
hex1251ea0

19209888 has 36 divisors (see below), whose sum is σ = 54628938. Its totient is φ = 6403200.

The previous prime is 19209871. The next prime is 19209913. The reversal of 19209888 is 88890291.

It can be written as a sum of positive squares in only one way, i.e., 17740944 + 1468944 = 4212^2 + 1212^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33063 + ... + 33638.

Almost surely, 219209888 is an apocalyptic number.

19209888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19209888 is an abundant number, since it is smaller than the sum of its proper divisors (35419050).

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

19209888 is a wasteful number, since it uses less digits than its factorization.

19209888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66717 (or 66706 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 19209888 is about 4382.9086232775. The cubic root of 19209888 is about 267.8191398732.

It can be divided in two parts, 1920988 and 8, that added together give a square (1920996 = 13862).

The spelling of 19209888 in words is "nineteen million, two hundred nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 66701 133402 200103 266804 400206 533608 600309 800412 1067216 1200618 1600824 2134432 2401236 3201648 4802472 6403296 9604944 19209888