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6429248 = 267113127
BaseRepresentation
bin11000100001101001000000
3110002122021022
4120201221000
53121213443
6345445012
7105435110
oct30415100
913078238
106429248
1136a1431
1221a0768
1314414b7
14bd5040
1586ee68
hex621a40

6429248 has 56 divisors (see below), whose sum is σ = 14825472. Its totient is φ = 2709504.

The previous prime is 6429223. The next prime is 6429323. The reversal of 6429248 is 8429246.

6429248 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×64292483 (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50561 + ... + 50687.

Almost surely, 26429248 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 6429248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7412736).

6429248 is an abundant number, since it is smaller than the sum of its proper divisors (8396224).

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

6429248 is a wasteful number, since it uses less digits than its factorization.

6429248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 249 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The square root of 6429248 is about 2535.5961823603. The cubic root of 6429248 is about 185.9459510741.

The spelling of 6429248 in words is "six million, four hundred twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 127 224 226 254 448 452 508 791 889 904 1016 1582 1778 1808 2032 3164 3556 3616 4064 6328 7112 7232 8128 12656 14224 14351 25312 28448 28702 50624 56896 57404 100457 114808 200914 229616 401828 459232 803656 918464 1607312 3214624 6429248