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6428992 = 261719311
BaseRepresentation
bin11000100001100101000000
3110002121220211
4120201211000
53121211432
6345443504
7105434263
oct30414500
913077824
106428992
1136a1219
1221a0594
13144134b
14bd4cda
1586ed47
hex621940

6428992 has 56 divisors (see below), whose sum is σ = 14264640. Its totient is φ = 2856960.

The previous prime is 6428987. The next prime is 6429019. The reversal of 6428992 is 2998246.

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, 20517 + ... + 20827.

Almost surely, 26428992 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 6428992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132320).

6428992 is an abundant number, since it is smaller than the sum of its proper divisors (7835648).

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

6428992 is a wasteful number, since it uses less digits than its factorization.

6428992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 349 counting only the distinct ones).

The product of its digits is 62208, while the sum is 40.

The square root of 6428992 is about 2535.5457006333. The cubic root of 6428992 is about 185.9434830408.

The spelling of 6428992 in words is "six million, four hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 136 152 272 304 311 323 544 608 622 646 1088 1216 1244 1292 2488 2584 4976 5168 5287 5909 9952 10336 10574 11818 19904 20672 21148 23636 42296 47272 84592 94544 100453 169184 189088 200906 338368 378176 401812 803624 1607248 3214496 6428992