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6428448246 = 2311193504667
BaseRepresentation
bin1011111110010101…
…00101010111110110
3121121000021000011210
411333022211113312
5101131140320441
62541515542250
7315205623423
oct57712452766
917530230153
106428448246
1127a9767350
1212b4a5a986
137b5a8ac3c
1444da9ad4a
1527956a616
hex17f2a55f6

6428448246 has 32 divisors (see below), whose sum is σ = 14098405248. Its totient is φ = 1937917440.

The previous prime is 6428448223. The next prime is 6428448259.

6428448246 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×64284482463 (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 6428448195 and 6428448204.

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, 239596 + ... + 265071.

It is an arithmetic number, because the mean of its divisors is an integer number (440575164).

Almost surely, 26428448246 is an apocalyptic number.

6428448246 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6428448246 is an abundant number, since it is smaller than the sum of its proper divisors (7669957002).

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

6428448246 is a wasteful number, since it uses less digits than its factorization.

6428448246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504876.

The product of its digits is 2359296, while the sum is 48.

The square root of 6428448246 is about 80177.6043917502. The cubic root of 6428448246 is about 1859.3824062416.

The spelling of 6428448246 in words is "six billion, four hundred twenty-eight million, four hundred forty-eight thousand, two hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 193 386 579 1158 2123 4246 6369 12738 504667 1009334 1514001 3028002 5551337 11102674 16654011 33308022 97400731 194801462 292202193 584404386 1071408041 2142816082 3214224123 6428448246