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842240016 = 243222925541
BaseRepresentation
bin110010001100111…
…001000000010000
32011200211020002200
4302030321000100
53211103140031
6215324043200
726604631152
oct6214710020
92150736080
10842240016
113a2471432
121b6093500
13105652197
147dc02ad2
154de1c8e6
hex32339010

842240016 has 60 divisors (see below), whose sum is σ = 2367487980. Its totient is φ = 279509760.

The previous prime is 842239987. The next prime is 842240029. The reversal of 842240016 is 610042248.

It can be written as a sum of positive squares in 2 ways, for example, as 611078400 + 231161616 = 24720^2 + 15204^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20206 + ... + 45746.

It is an arithmetic number, because the mean of its divisors is an integer number (39458133).

Almost surely, 2842240016 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 842240016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183743990).

842240016 is an abundant number, since it is smaller than the sum of its proper divisors (1525247964).

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

842240016 is a wasteful number, since it uses less digits than its factorization.

842240016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25784 (or 25775 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 842240016 is about 29021.3717112062. The cubic root of 842240016 is about 944.3767587858.

The spelling of 842240016 in words is "eight hundred forty-two million, two hundred forty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 229 458 687 916 1374 1832 2061 2748 3664 4122 5496 8244 10992 16488 25541 32976 51082 76623 102164 153246 204328 229869 306492 408656 459738 612984 919476 1225968 1838952 3677904 5848889 11697778 17546667 23395556 35093334 46791112 52640001 70186668 93582224 105280002 140373336 210560004 280746672 421120008 842240016