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535468428 = 2233112319597
BaseRepresentation
bin11111111010101…
…001100110001100
31101022120121121000
4133322221212030
52044034442203
6125044540300
716161256305
oct3772514614
91338517530
10535468428
112552923a0
1212b3b1690
1386c23131
14511897ac
15320224a3
hex1fea998c

535468428 has 96 divisors (see below), whose sum is σ = 1580382720. Its totient is φ = 155200320.

The previous prime is 535468387. The next prime is 535468447. The reversal of 535468428 is 824864535.

535468428 is a `hidden beast` number, since 5 + 3 + 546 + 84 + 28 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17526 + ... + 37122.

It is an arithmetic number, because the mean of its divisors is an integer number (16462320).

Almost surely, 2535468428 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 535468428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790191360).

535468428 is an abundant number, since it is smaller than the sum of its proper divisors (1044914292).

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

535468428 is a wasteful number, since it uses less digits than its factorization.

535468428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19644 (or 19636 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 535468428 is about 23140.1907511585. The cubic root of 535468428 is about 812.0409982778.

The spelling of 535468428 in words is "five hundred thirty-five million, four hundred sixty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 92 99 108 132 138 198 207 253 276 297 396 414 506 594 621 759 828 1012 1188 1242 1518 2277 2484 3036 4554 6831 9108 13662 19597 27324 39194 58791 78388 117582 176373 215567 235164 352746 431134 450731 529119 646701 705492 862268 901462 1058238 1293402 1352193 1802924 1940103 2116476 2586804 2704386 3880206 4056579 4958041 5408772 5820309 7760412 8113158 9916082 11640618 12169737 14874123 16226316 19832164 23281236 24339474 29748246 44622369 48678948 59496492 89244738 133867107 178489476 267734214 535468428