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828430050 = 23527312821
BaseRepresentation
bin110001011000001…
…101011011100010
32010201211121101110
4301120031123202
53144034230200
6214112044150
726346352650
oct6130153342
92121747343
10828430050
11395699838
121b1533656
131028283c6
147c049dd0
154cae0b50
hex3160d6e2

828430050 has 144 divisors (see below), whose sum is σ = 2429148096. Its totient is φ = 183024000.

The previous prime is 828430013. The next prime is 828430069. The reversal of 828430050 is 50034828.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1008640 + ... + 1009460.

It is an arithmetic number, because the mean of its divisors is an integer number (16869084).

Almost surely, 2828430050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828430050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214574048).

828430050 is an abundant number, since it is smaller than the sum of its proper divisors (1600718046).

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

828430050 is a wasteful number, since it uses less digits than its factorization.

828430050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 828430050 is about 28782.4608051501. The cubic root of 828430050 is about 939.1867305605.

Adding to 828430050 its reverse (50034828), we get a palindrome (878464878).

The spelling of 828430050 in words is "eight hundred twenty-eight million, four hundred thirty thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 31 35 42 50 62 70 75 93 105 150 155 175 186 210 217 310 350 434 465 525 651 775 821 930 961 1050 1085 1302 1550 1642 1922 2170 2325 2463 2883 3255 4105 4650 4805 4926 5425 5747 5766 6510 6727 8210 9610 10850 11494 12315 13454 14415 16275 17241 20181 20525 24025 24630 25451 28735 28830 32550 33635 34482 40362 41050 48050 50902 57470 61575 67270 72075 76353 86205 100905 123150 127255 143675 144150 152706 168175 172410 178157 201810 254510 287350 336350 356314 381765 431025 504525 534471 636275 763530 788981 862050 890785 1009050 1068942 1272550 1577962 1781570 1908825 2366943 2672355 3817650 3944905 4453925 4733886 5344710 5522867 7889810 8907850 11045734 11834715 13361775 16568601 19724525 23669430 26723550 27614335 33137202 39449050 55228670 59173575 82843005 118347150 138071675 165686010 276143350 414215025 828430050