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842981472 = 25334720759
BaseRepresentation
bin110010001111101…
…110000001100000
32011202012220012000
4302033232001200
53211300401342
6215352004000
726614136634
oct6217560140
92152186160
10842981472
113a2928503
121b6390600
13105851808
147dd56dc4
154e01744c
hex323ee060

842981472 has 96 divisors (see below), whose sum is σ = 2511129600. Its totient is φ = 275001984.

The previous prime is 842981459. The next prime is 842981521. The reversal of 842981472 is 274189248.

842981472 is a `hidden beast` number, since 84 + 29 + 81 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30229 + ... + 50987.

It is an arithmetic number, because the mean of its divisors is an integer number (26157600).

Almost surely, 2842981472 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 842981472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255564800).

842981472 is an abundant number, since it is smaller than the sum of its proper divisors (1668148128).

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

842981472 is a wasteful number, since it uses less digits than its factorization.

842981472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20825 (or 20811 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 842981472 is about 29034.1432110541. The cubic root of 842981472 is about 944.6538011278.

The spelling of 842981472 in words is "eight hundred forty-two million, nine hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 94 96 108 141 144 188 216 282 288 376 423 432 564 752 846 864 1128 1269 1504 1692 2256 2538 3384 4512 5076 6768 10152 13536 20304 20759 40608 41518 62277 83036 124554 166072 186831 249108 332144 373662 498216 560493 664288 747324 975673 996432 1120986 1494648 1951346 1992864 2241972 2927019 2989296 3902692 4483944 5854038 5978592 7805384 8781057 8967888 11708076 15610768 17562114 17935776 23416152 26343171 31221536 35124228 46832304 52686342 70248456 93664608 105372684 140496912 210745368 280993824 421490736 842981472