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285269628 = 223797157223
BaseRepresentation
bin10001000000001…
…101111001111100
3201212210012100210
4101000031321330
51041012112003
644150152420
710032515610
oct2100157174
9655705323
10285269628
11137033326
127b652710
13471410c7
1429c5b340
151a09e503
hex1100de7c

285269628 has 96 divisors (see below), whose sum is σ = 776925184. Its totient is φ = 79792128.

The previous prime is 285269627. The next prime is 285269641. The reversal of 285269628 is 826962582.

285269628 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285269623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1279125 + ... + 1279347.

Almost surely, 2285269628 is an apocalyptic number.

285269628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285269628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388462592).

285269628 is an abundant number, since it is smaller than the sum of its proper divisors (491655556).

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

285269628 is a wasteful number, since it uses less digits than its factorization.

285269628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 489 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 285269628 is about 16889.9268204454. The cubic root of 285269628 is about 658.2919009265.

The spelling of 285269628 in words is "two hundred eighty-five million, two hundred sixty-nine thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 157 194 223 291 314 388 446 471 582 628 669 679 892 942 1099 1164 1338 1358 1561 1884 2037 2198 2676 2716 3122 3297 4074 4396 4683 6244 6594 8148 9366 13188 15229 18732 21631 30458 35011 43262 45687 60916 64893 70022 86524 91374 105033 106603 129786 140044 151417 182748 210066 213206 245077 259572 302834 319809 420132 426412 454251 490154 605668 639618 735231 908502 980308 1279236 1470462 1817004 2940924 3396067 6792134 10188201 13584268 20376402 23772469 40752804 47544938 71317407 95089876 142634814 285269628