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428741496 = 233217379467
BaseRepresentation
bin11001100011100…
…001001101111000
31002212202022202200
4121203201031320
51334224211441
6110313230200
713424146131
oct3143411570
91085668680
10428741496
11200016917
12bb702360
136aa957c1
1440d26c88
152798e7b6
hex198e1378

428741496 has 96 divisors (see below), whose sum is σ = 1262841840. Its totient is φ = 130857984.

The previous prime is 428741477. The next prime is 428741497. The reversal of 428741496 is 694147824.

428741496 is a `hidden beast` number, since 42 + 87 + 41 + 496 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428741497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40555 + ... + 50021.

Almost surely, 2428741496 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 428741496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631420920).

428741496 is an abundant number, since it is smaller than the sum of its proper divisors (834100344).

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

428741496 is a wasteful number, since it uses less digits than its factorization.

428741496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9533 (or 9526 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 428741496 is about 20706.0738914938. The cubic root of 428741496 is about 754.0471560870.

The spelling of 428741496 in words is "four hundred twenty-eight million, seven hundred forty-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 37 51 68 72 74 102 111 136 148 153 204 222 296 306 333 408 444 612 629 666 888 1224 1258 1332 1887 2516 2664 3774 5032 5661 7548 9467 11322 15096 18934 22644 28401 37868 45288 56802 75736 85203 113604 160939 170406 227208 321878 340812 350279 482817 643756 681624 700558 965634 1050837 1287512 1401116 1448451 1931268 2101674 2802232 2896902 3152511 3862536 4203348 5793804 5954743 6305022 8406696 11587608 11909486 12610044 17864229 23818972 25220088 35728458 47637944 53592687 71456916 107185374 142913832 214370748 428741496