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842016825 = 32521319109139
BaseRepresentation
bin110010001100000…
…010100000111001
32011200101212221100
4302030002200321
53211024014300
6215315202013
726603011356
oct6214024071
92150355840
10842016825
113a2329781
121b5ba6309
131055a4710
147db8562d
154ddc6700
hex32302839

842016825 has 144 divisors (see below), whose sum is σ = 1737736000. Its totient is φ = 386311680.

The previous prime is 842016701. The next prime is 842016829. The reversal of 842016825 is 528610248.

It is not a de Polignac number, because 842016825 - 27 = 842016697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 842016825.

It is not an unprimeable number, because it can be changed into a prime (842016829) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 6057606 + ... + 6057744.

Almost surely, 2842016825 is an apocalyptic number.

It is an amenable number.

842016825 is an abundant number, since it is smaller than the sum of its proper divisors (895719175).

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

842016825 is a wasteful number, since it uses less digits than its factorization.

842016825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

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

The square root of 842016825 is about 29017.5261695411. The cubic root of 842016825 is about 944.2933324425.

The spelling of 842016825 in words is "eight hundred forty-two million, sixteen thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 13 15 19 25 39 45 57 65 75 95 109 117 139 171 195 225 247 285 325 327 417 475 545 585 695 741 855 975 981 1235 1251 1417 1425 1635 1807 2071 2085 2223 2641 2725 2925 3475 3705 4251 4275 4905 5421 6175 6213 6255 7085 7923 8175 9035 10355 10425 11115 12753 13205 15151 16263 18525 18639 21255 23769 24525 26923 27105 31065 31275 34333 35425 39615 45175 45453 51775 55575 63765 66025 75755 80769 81315 93195 102999 106275 118845 134615 135525 136359 155325 171665 196963 198075 227265 242307 287869 308997 318825 378775 403845 406575 465975 514995 590889 594225 673075 681795 858325 863607 984815 1136325 1211535 1439345 1544985 1772667 2019225 2574975 2590821 2954445 3408975 3742297 4318035 4924075 6057675 7196725 7724925 8863335 11226891 12954105 14772225 18711485 21590175 33680673 44316675 56134455 64770525 93557425 168403365 280672275 842016825