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6404272 = 247211271
BaseRepresentation
bin11000011011100010110000
3110001101000021
4120123202300
53114414042
6345133224
7105302230
oct30334260
913041007
106404272
113684696
12218a214
131433014
14bc9cc0
15867867
hex61b8b0

6404272 has 40 divisors (see below), whose sum is σ = 14300672. Its totient is φ = 2721600.

The previous prime is 6404269. The next prime is 6404297. The reversal of 6404272 is 2724046.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23497 + ... + 23767.

Almost surely, 26404272 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 6404272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7150336).

6404272 is an abundant number, since it is smaller than the sum of its proper divisors (7896400).

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

6404272 is a wasteful number, since it uses less digits than its factorization.

6404272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 6404272 is about 2530.6663154197. Note that the first 3 decimals coincide. The cubic root of 6404272 is about 185.7048542970.

The spelling of 6404272 in words is "six million, four hundred four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 211 271 422 542 844 1084 1477 1688 1897 2168 2954 3376 3794 4336 5908 7588 11816 15176 23632 30352 57181 114362 228724 400267 457448 800534 914896 1601068 3202136 6404272