Search a number
-
+
842280096 = 25371724337
BaseRepresentation
bin110010001101000…
…010110010100000
32011200220021002010
4302031002302200
53211110430341
6215324552520
726605156050
oct6215026240
92150807063
10842280096
113a2499559
121b60b2740
131056674b8
147dc13560
154de29716
hex32342ca0

842280096 has 144 divisors (see below), whose sum is σ = 2684840256. Its totient is φ = 226443264.

The previous prime is 842280077. The next prime is 842280133. The reversal of 842280096 is 690082248.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192040 + ... + 196376.

It is an arithmetic number, because the mean of its divisors is an integer number (18644724).

Almost surely, 2842280096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842280096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342420128).

842280096 is an abundant number, since it is smaller than the sum of its proper divisors (1842560160).

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

842280096 is a wasteful number, since it uses less digits than its factorization.

842280096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4391 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 842280096 is about 29022.0622285874. The cubic root of 842280096 is about 944.3917386884.

It can be divided in two parts, 84 and 2280096, that added together give a triangular number (2280180 = T2135).

The spelling of 842280096 in words is "eight hundred forty-two million, two hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 289 336 357 408 476 544 578 672 714 816 867 952 1156 1428 1632 1734 1904 2023 2312 2856 3468 3808 4046 4337 4624 5712 6069 6936 8092 8674 9248 11424 12138 13011 13872 16184 17348 24276 26022 27744 30359 32368 34696 48552 52044 60718 64736 69392 73729 91077 97104 104088 121436 138784 147458 182154 194208 208176 221187 242872 294916 364308 416352 442374 485744 516103 589832 728616 884748 971488 1032206 1179664 1253393 1457232 1548309 1769496 2064412 2359328 2506786 2914464 3096618 3538992 3760179 4128824 5013572 6193236 7077984 7520358 8257648 8773751 10027144 12386472 15040716 16515296 17547502 20054288 24772944 26321253 30081432 35095004 40108576 49545888 52642506 60162864 70190008 105285012 120325728 140380016 210570024 280760032 421140048 842280096