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4048016 = 24747769
BaseRepresentation
bin1111011100010010010000
321121122211112
433130102100
52014014031
6222432452
746256540
oct17342220
97548745
104048016
112315375
121432728
13ab969b
14775320
1554e62b
hex3dc490

4048016 has 40 divisors (see below), whose sum is σ = 9166080. Its totient is φ = 1695744.

The previous prime is 4048013. The next prime is 4048043. The reversal of 4048016 is 6108404.

It is a happy number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 4047982 and 4048000.

It is not an unprimeable number, because it can be changed into a prime (4048013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4880 + ... + 5648.

It is an arithmetic number, because the mean of its divisors is an integer number (229152).

Almost surely, 24048016 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 4048016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4583040).

4048016 is an abundant number, since it is smaller than the sum of its proper divisors (5118064).

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

4048016 is a wasteful number, since it uses less digits than its factorization.

4048016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 4048016 is about 2011.9681906034. The cubic root of 4048016 is about 159.3727525506.

The spelling of 4048016 in words is "four million, forty-eight thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 769 1316 1538 2632 3076 5264 5383 6152 10766 12304 21532 36143 43064 72286 86128 144572 253001 289144 506002 578288 1012004 2024008 4048016