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19480032 = 25321121343
BaseRepresentation
bin100101001001…
…1110111100000
31100122200120200
41022103313200
514441330112
61533305200
7324402045
oct112236740
940580520
1019480032
11aaa5700
126635200
134060860
1428311cc
151a9bcdc
hex1293de0

19480032 has 216 divisors, whose sum is σ = 67099032. Its totient is φ = 5322240.

The previous prime is 19480007. The next prime is 19480051. The reversal of 19480032 is 23008491.

It is a junction number, because it is equal to n+sod(n) for n = 19479978 and 19480005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 453003 + ... + 453045.

Almost surely, 219480032 is an apocalyptic number.

19480032 is a gapful number since it is divisible by the number (12) 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 19480032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33549516).

19480032 is an abundant number, since it is smaller than the sum of its proper divisors (47619000).

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

19480032 is a wasteful number, since it uses less digits than its factorization.

19480032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 19480032 is about 4413.6189232873. The cubic root of 19480032 is about 269.0687257318.

The spelling of 19480032 in words is "nineteen million, four hundred eighty thousand, thirty-two".