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828268056 = 2332711149399
BaseRepresentation
bin110001010111100…
…101111000011000
32010201112101011200
4301113211320120
53144014034211
6214104354200
726345106450
oct6127457030
92121471150
10828268056
11395599060
121b1475960
1310279c755
147c006d60
154caacb56
hex315e5e18

828268056 has 96 divisors (see below), whose sum is σ = 2796768000. Its totient is φ = 215133120.

The previous prime is 828268009. The next prime is 828268073. The reversal of 828268056 is 650862828.

828268056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69156 + ... + 80243.

It is an arithmetic number, because the mean of its divisors is an integer number (29133000).

Almost surely, 2828268056 is an apocalyptic number.

It is an amenable number.

828268056 is an abundant number, since it is smaller than the sum of its proper divisors (1968499944).

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

828268056 is a wasteful number, since it uses less digits than its factorization.

828268056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149429 (or 149422 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 828268056 is about 28779.6465579409. The cubic root of 828268056 is about 939.1255093251.

The spelling of 828268056 in words is "eight hundred twenty-eight million, two hundred sixty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 149399 298798 448197 597596 896394 1045793 1195192 1344591 1643389 1792788 2091586 2689182 3137379 3286778 3585576 4183172 4930167 5378364 6274758 6573556 8366344 9412137 9860334 10756728 11503723 12549516 13147112 14790501 18824274 19720668 23007446 25099032 29581002 34511169 37648548 39441336 46014892 59162004 69022338 75297096 92029784 103533507 118324008 138044676 207067014 276089352 414134028 828268056