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19544144 = 242973577
BaseRepresentation
bin100101010001…
…1100001010000
31100202221112012
41022203201100
520000403034
61534522052
7325060004
oct112434120
940687465
1019544144
1110039894
126666328
134083aa9
14284a704
151ab0cce
hex12a3850

19544144 has 40 divisors (see below), whose sum is σ = 39777960. Its totient is φ = 9289728.

The previous prime is 19544137. The next prime is 19544159. The reversal of 19544144 is 44144591.

It can be written as a sum of positive squares in 4 ways, for example, as 9859600 + 9684544 = 3140^2 + 3112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 19544144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33584 + ... + 34160.

It is an arithmetic number, because the mean of its divisors is an integer number (994449).

Almost surely, 219544144 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 19544144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19888980).

19544144 is an abundant number, since it is smaller than the sum of its proper divisors (20233816).

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

19544144 is a wasteful number, since it uses less digits than its factorization.

19544144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 681 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 19544144 is about 4420.8759313059. The cubic root of 19544144 is about 269.3635856835.

The spelling of 19544144 in words is "nineteen million, five hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 73 116 146 232 292 464 577 584 1154 1168 2117 2308 4234 4616 8468 9232 16733 16936 33466 33872 42121 66932 84242 133864 168484 267728 336968 673936 1221509 2443018 4886036 9772072 19544144