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19914048 = 2632711449
BaseRepresentation
bin100101111110…
…1110101000000
31101110201221100
41023331311000
520044222143
61550454400
7331160310
oct113756500
941421840
1019914048
11102717a0
126804400
13418327b
142905440
151b356d3
hex12fdd40

19914048 has 168 divisors, whose sum is σ = 71323200. Its totient is φ = 5160960.

The previous prime is 19914047. The next prime is 19914073. The reversal of 19914048 is 84041991.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19914047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44128 + ... + 44576.

Almost surely, 219914048 is an apocalyptic number.

19914048 is a gapful number since it is divisible by the number (18) 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 19914048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35661600).

19914048 is an abundant number, since it is smaller than the sum of its proper divisors (51409152).

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

19914048 is a wasteful number, since it uses less digits than its factorization.

19914048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 19914048 is about 4462.5158823247. The cubic root of 19914048 is about 271.0523539144.

The spelling of 19914048 in words is "nineteen million, nine hundred fourteen thousand, forty-eight".