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4808016 = 2432173193
BaseRepresentation
bin10010010101110101010000
3100001021100200
4102111311100
52212324031
6251015200
755603353
oct22256520
910037320
104808016
112794374
12173a500
13cc45a5
148d229a
1564e8e6
hex495d50

4808016 has 60 divisors (see below), whose sum is σ = 13603668. Its totient is φ = 1585152.

The previous prime is 4808009. The next prime is 4808017. The reversal of 4808016 is 6108084.

It can be written as a sum of positive squares in 2 ways, for example, as 2903616 + 1904400 = 1704^2 + 1380^2 .

It is a super-3 number, since 3×48080163 (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4808017) 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, 24816 + ... + 25008.

Almost surely, 24808016 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 4808016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6801834).

4808016 is an abundant number, since it is smaller than the sum of its proper divisors (8795652).

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

4808016 is a wasteful number, since it uses less digits than its factorization.

4808016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 4808016 is about 2192.7188602281. The cubic root of 4808016 is about 168.7803830067.

The spelling of 4808016 in words is "four million, eight hundred eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 193 346 386 519 579 692 772 1038 1158 1384 1544 1557 1737 2076 2316 2768 3088 3114 3474 4152 4632 6228 6948 8304 9264 12456 13896 24912 27792 33389 66778 100167 133556 200334 267112 300501 400668 534224 601002 801336 1202004 1602672 2404008 4808016