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842454016 = 2103126539
BaseRepresentation
bin110010001101101…
…101010000000000
32011201020002122121
4302031231100000
53211132012031
6215332414024
726606512105
oct6215552000
92151202577
10842454016
113a25a8198
121b6177314
131056c8701
147dc5aaac
154de61011
hex3236d400

842454016 has 44 divisors (see below), whose sum is σ = 1738476160. Its totient is φ = 407623680.

The previous prime is 842454007. The next prime is 842454037. The reversal of 842454016 is 610454248.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 18475 + ... + 45013.

Almost surely, 2842454016 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 842454016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869238080).

842454016 is an abundant number, since it is smaller than the sum of its proper divisors (896022144).

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

842454016 is a wasteful number, since it uses less digits than its factorization.

842454016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26590 (or 26572 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 842454016 is about 29025.0584151006. The cubic root of 842454016 is about 944.4567357949.

The spelling of 842454016 in words is "eight hundred forty-two million, four hundred fifty-four thousand, sixteen".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1024 1984 3968 7936 15872 26539 31744 53078 106156 212312 424624 822709 849248 1645418 1698496 3290836 3396992 6581672 6793984 13163344 13587968 26326688 27175936 52653376 105306752 210613504 421227008 842454016