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4048096 = 251337263
BaseRepresentation
bin1111011100010011100000
321121122221111
433130103200
52014014341
6222433104
746260013
oct17342340
97548844
104048096
112315438
121432794
13ab9730
1477537a
1554e681
hex3dc4e0

4048096 has 48 divisors (see below), whose sum is σ = 8848224. Its totient is φ = 1810944.

The previous prime is 4048061. The next prime is 4048103. The reversal of 4048096 is 6908404.

4048096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15261 + ... + 15523.

It is an arithmetic number, because the mean of its divisors is an integer number (184338).

Almost surely, 24048096 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 4048096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424112).

4048096 is an abundant number, since it is smaller than the sum of its proper divisors (4800128).

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

4048096 is a wasteful number, since it uses less digits than its factorization.

4048096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 4048096 is about 2011.9880715352. The cubic root of 4048096 is about 159.3738024260.

The spelling of 4048096 in words is "four million, forty-eight thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 263 296 416 481 526 592 962 1052 1184 1924 2104 3419 3848 4208 6838 7696 8416 9731 13676 15392 19462 27352 38924 54704 77848 109408 126503 155696 253006 311392 506012 1012024 2024048 4048096