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4206048 = 253711569
BaseRepresentation
bin10000000010110111100000
321220200121120
4100002313200
52034043143
6230052240
750515350
oct20026740
97820546
104206048
112413080
1214aa080
13b435b2
147b6b60
15581383
hex402de0

4206048 has 96 divisors (see below), whose sum is σ = 13789440. Its totient is φ = 1090560.

The previous prime is 4206029. The next prime is 4206053. The reversal of 4206048 is 8406024.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7108 + ... + 7676.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 24206048 is an apocalyptic number.

4206048 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 4206048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894720).

4206048 is an abundant number, since it is smaller than the sum of its proper divisors (9583392).

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

4206048 is a wasteful number, since it uses less digits than its factorization.

4206048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4206048 is about 2050.8651832824. The cubic root of 4206048 is about 161.4202720338.

Subtracting from 4206048 its sum of digits (24), we obtain a palindrome (4206024).

The spelling of 4206048 in words is "four million, two hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 569 616 672 924 1056 1138 1232 1707 1848 2276 2464 3414 3696 3983 4552 6259 6828 7392 7966 9104 11949 12518 13656 15932 18208 18777 23898 25036 27312 31864 37554 43813 47796 50072 54624 63728 75108 87626 95592 100144 127456 131439 150216 175252 191184 200288 262878 300432 350504 382368 525756 600864 701008 1051512 1402016 2103024 4206048