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805282830 = 23351121572
BaseRepresentation
bin101111111111111…
…010010000001110
32002010021121101000
4233333322100032
53122123022310
6211524001130
725645535232
oct5777722016
92063247330
10805282830
11383619a00
121a58301a6
13caab2621
1478d425c2
154aa6c4c0
hex2fffa40e

805282830 has 144 divisors (see below), whose sum is σ = 2375518320. Its totient is φ = 193976640.

The previous prime is 805282823. The next prime is 805282853. The reversal of 805282830 is 38282508.

805282830 is a `hidden beast` number, since 80 + 528 + 28 + 30 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5129112 + ... + 5129268.

It is an arithmetic number, because the mean of its divisors is an integer number (16496655).

Almost surely, 2805282830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 805282830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187759160).

805282830 is an abundant number, since it is smaller than the sum of its proper divisors (1570235490).

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

805282830 is a wasteful number, since it uses less digits than its factorization.

805282830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 805282830 is about 28377.5057043427. The cubic root of 805282830 is about 930.3566790038.

Multiplying 805282830 by its product of nonzero digits (30720), we get a square (24738288537600 = 49737602).

The spelling of 805282830 in words is "eight hundred five million, two hundred eighty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 121 135 157 165 198 242 270 297 314 330 363 471 495 594 605 726 785 942 990 1089 1210 1413 1485 1570 1727 1815 2178 2355 2826 2970 3267 3454 3630 4239 4710 5181 5445 6534 7065 8478 8635 10362 10890 14130 15543 16335 17270 18997 21195 24649 25905 31086 32670 37994 42390 46629 49298 51810 56991 73947 77715 93258 94985 113982 123245 147894 155430 170973 189970 221841 233145 246490 271139 284955 341946 369735 443682 466290 512919 542278 569910 665523 739470 813417 854865 1025838 1109205 1331046 1355695 1626834 1709730 2218410 2440251 2564595 2711390 2982529 3327615 4067085 4880502 5129190 5965058 6655230 7320753 8134170 8947587 12201255 14641506 14912645 17895174 24402510 26842761 29825290 36603765 44737935 53685522 73207530 80528283 89475870 134213805 161056566 268427610 402641415 805282830