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2825343528 = 233727332911
BaseRepresentation
bin1010100001100111…
…0101001000101000
321021220101022200220
42220121311020220
521241241443103
61144204530040
7130005011100
oct25031651050
97256338626
102825343528
11121a918457
1266a250920
13360461907
141cb340200
15118093c53
hexa8675228

2825343528 has 96 divisors (see below), whose sum is σ = 8329368960. Its totient is φ = 796158720.

The previous prime is 2825343517. The next prime is 2825343533. The reversal of 2825343528 is 8253435282.

It is a super-2 number, since 2×28253435282 = 15965132102422973568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2825343528.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 69393 + ... + 102303.

It is an arithmetic number, because the mean of its divisors is an integer number (86764260).

Almost surely, 22825343528 is an apocalyptic number.

2825343528 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 2825343528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164684480).

2825343528 is an abundant number, since it is smaller than the sum of its proper divisors (5504025432).

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

2825343528 is a wasteful number, since it uses less digits than its factorization.

2825343528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33007 (or 32996 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The square root of 2825343528 is about 53153.9606050198. The cubic root of 2825343528 is about 1413.6994427029.

The spelling of 2825343528 in words is "two billion, eight hundred twenty-five million, three hundred forty-three thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 73 84 98 146 147 168 196 219 292 294 392 438 511 584 588 876 1022 1176 1533 1752 2044 3066 3577 4088 6132 7154 10731 12264 14308 21462 28616 32911 42924 65822 85848 98733 131644 197466 230377 263288 394932 460754 691131 789864 921508 1382262 1612639 1843016 2402503 2764524 3225278 4805006 4837917 5529048 6450556 7207509 9610012 9675834 12901112 14415018 16817521 19220024 19351668 28830036 33635042 38703336 50452563 57660072 67270084 100905126 117722647 134540168 201810252 235445294 353167941 403620504 470890588 706335882 941781176 1412671764 2825343528