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842082048 = 2833294201
BaseRepresentation
bin110010001100010…
…010011100000000
32011200112012102000
4302030102130000
53211033111143
6215320424000
726603402463
oct6214223400
92150465360
10842082048
113a2373785
121b6018000
131055c8302
147dba12da
154dddabd3
hex32312700

842082048 has 144 divisors (see below), whose sum is σ = 2576666400. Its totient is φ = 270950400.

The previous prime is 842082037. The next prime is 842082053. The reversal of 842082048 is 840280248.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198348 + ... + 202548.

Almost surely, 2842082048 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 842082048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288333200).

842082048 is an abundant number, since it is smaller than the sum of its proper divisors (1734584352).

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

842082048 is a wasteful number, since it uses less digits than its factorization.

842082048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4255 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 842082048 is about 29018.6500030584. The cubic root of 842082048 is about 944.3177136076.

The spelling of 842082048 in words is "eight hundred forty-two million, eighty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 256 261 288 348 384 432 464 522 576 696 768 783 864 928 1044 1152 1392 1566 1728 1856 2088 2304 2784 3132 3456 3712 4176 4201 5568 6264 6912 7424 8352 8402 11136 12528 12603 16704 16804 22272 25056 25206 33408 33608 37809 50112 50412 66816 67216 75618 100224 100824 113427 121829 134432 151236 200448 201648 226854 243658 268864 302472 365487 403296 453708 487316 537728 604944 730974 806592 907416 974632 1075456 1096461 1209888 1461948 1613184 1814832 1949264 2192922 2419776 2923896 3226368 3289383 3629664 3898528 4385844 4839552 5847792 6578766 7259328 7797056 8771688 9679104 11695584 13157532 14518656 15594112 17543376 23391168 26315064 29037312 31188224 35086752 46782336 52630128 70173504 93564672 105260256 140347008 210520512 280694016 421041024 842082048