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19845144 = 23321125057
BaseRepresentation
bin100101110110…
…1000000011000
31101100020102100
41023231000120
520040021034
61545203400
7330452364
oct113550030
941306370
1019845144
1110224a50
126790560
13415aab7
1428c82a4
151b20099
hex12ed018

19845144 has 48 divisors (see below), whose sum is σ = 58635720. Its totient is φ = 6013440.

The previous prime is 19845143. The next prime is 19845167. The reversal of 19845144 is 44154891.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19845099 and 19845108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19845143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11737 + ... + 13320.

Almost surely, 219845144 is an apocalyptic number.

It is an amenable number.

19845144 is an abundant number, since it is smaller than the sum of its proper divisors (38790576).

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

19845144 is a wasteful number, since it uses less digits than its factorization.

19845144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25080 (or 25073 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 19845144 is about 4454.7888838866. The cubic root of 19845144 is about 270.7393726182.

The spelling of 19845144 in words is "nineteen million, eight hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 25057 50114 75171 100228 150342 200456 225513 275627 300684 451026 551254 601368 826881 902052 1102508 1653762 1804104 2205016 2480643 3307524 4961286 6615048 9922572 19845144