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828630 = 23551131
BaseRepresentation
bin11001010010011010110
31120002200000
43022103112
5203004010
625432130
710020555
oct3122326
91502600
10828630
11516620
1233b646
1323021a
14177d9c
151157c0
hexca4d6

828630 has 96 divisors (see below), whose sum is σ = 2515968. Its totient is φ = 194400.

The previous prime is 828601. The next prime is 828637. The reversal of 828630 is 36828.

828630 is a `hidden beast` number, since 8 + 28 + 630 = 666.

828630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 828594 and 828603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26715 + ... + 26745.

It is an arithmetic number, because the mean of its divisors is an integer number (26208).

2828630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257984).

828630 is an abundant number, since it is smaller than the sum of its proper divisors (1687338).

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

828630 is a wasteful number, since it uses less digits than its factorization.

828630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 828630 is about 910.2911622113. The cubic root of 828630 is about 93.9262285232.

The spelling of 828630 in words is "eight hundred twenty-eight thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 31 33 45 54 55 62 66 81 90 93 99 110 135 155 162 165 186 198 243 270 279 297 310 330 341 405 465 486 495 558 594 682 810 837 891 930 990 1023 1215 1395 1485 1674 1705 1782 2046 2430 2511 2673 2790 2970 3069 3410 4185 4455 5022 5115 5346 6138 7533 8370 8910 9207 10230 12555 13365 15066 15345 18414 25110 26730 27621 30690 37665 46035 55242 75330 82863 92070 138105 165726 276210 414315 828630