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4048848 = 243231907
BaseRepresentation
bin1111011100011111010000
321121200222100
433130133100
52014030343
6222440400
746262136
oct17343720
97550870
104048848
112315a61
121433100
13ab9b8b
14775756
1554e9d3
hex3dc7d0

4048848 has 60 divisors (see below), whose sum is σ = 11709568. Its totient is φ = 1304640.

The previous prime is 4048831. The next prime is 4048853. The reversal of 4048848 is 8488404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4011 + ... + 4917.

Almost surely, 24048848 is an apocalyptic number.

4048848 is a gapful number since it is divisible by the number (48) 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 4048848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854784).

4048848 is an abundant number, since it is smaller than the sum of its proper divisors (7660720).

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

4048848 is a wasteful number, since it uses less digits than its factorization.

4048848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 4048848 is about 2012.1749426926. The cubic root of 4048848 is about 159.3836705779.

The spelling of 4048848 in words is "four million, forty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 907 1116 1488 1814 2232 2721 3628 4464 5442 7256 8163 10884 14512 16326 21768 28117 32652 43536 56234 65304 84351 112468 130608 168702 224936 253053 337404 449872 506106 674808 1012212 1349616 2024424 4048848