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19482816 = 2631747127
BaseRepresentation
bin100101001010…
…0100011000000
31100122211101210
41022110203000
514441422231
61533330120
7324413133
oct112244300
940584353
1019482816
11aaa7801
126636940
134061bc2
14283221a
151a9ca46
hex12948c0

19482816 has 112 divisors (see below), whose sum is σ = 56180736. Its totient is φ = 5935104.

The previous prime is 19482811. The next prime is 19482821. The reversal of 19482816 is 61828491.

It is an interprime number because it is at equal distance from previous prime (19482811) and next prime (19482821).

It is not an unprimeable number, because it can be changed into a prime (19482811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153345 + ... + 153471.

Almost surely, 219482816 is an apocalyptic number.

19482816 is a gapful number since it is divisible by the number (16) 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 19482816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28090368).

19482816 is an abundant number, since it is smaller than the sum of its proper divisors (36697920).

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

19482816 is a wasteful number, since it uses less digits than its factorization.

19482816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 19482816 is about 4413.9342994657. The cubic root of 19482816 is about 269.0815431585.

The spelling of 19482816 in words is "nineteen million, four hundred eighty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 47 48 51 64 68 94 96 102 127 136 141 188 192 204 254 272 282 376 381 408 508 544 564 752 762 799 816 1016 1088 1128 1504 1524 1598 1632 2032 2159 2256 2397 3008 3048 3196 3264 4064 4318 4512 4794 5969 6096 6392 6477 8128 8636 9024 9588 11938 12192 12784 12954 17272 17907 19176 23876 24384 25568 25908 34544 35814 38352 47752 51136 51816 69088 71628 76704 95504 101473 103632 138176 143256 153408 191008 202946 207264 286512 304419 382016 405892 414528 573024 608838 811784 1146048 1217676 1623568 2435352 3247136 4870704 6494272 9741408 19482816