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19042432 = 27314799
BaseRepresentation
bin100100010100…
…1000010000000
31022211110022021
41020221002000
514333324212
61520051224
7320600203
oct110510200
938743267
1019042432
11a826952
126463b14
133c39616
14275993a
151a12307
hex1229080

19042432 has 32 divisors (see below), whose sum is σ = 39168000. Its totient is φ = 9212160.

The previous prime is 19042417. The next prime is 19042433. The reversal of 19042432 is 23424091.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×190424322 = 725228432949248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19042397 and 19042406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19042433) 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, 1569 + ... + 6367.

It is an arithmetic number, because the mean of its divisors is an integer number (1224000).

Almost surely, 219042432 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 19042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19584000).

19042432 is an abundant number, since it is smaller than the sum of its proper divisors (20125568).

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

19042432 is an equidigital number, since it uses as much as digits as its factorization.

19042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4844 (or 4832 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 19042432 is about 4363.7635132990. The cubic root of 19042432 is about 267.0386586189.

The spelling of 19042432 in words is "nineteen million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3968 4799 9598 19196 38392 76784 148769 153568 297538 307136 595076 614272 1190152 2380304 4760608 9521216 19042432