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84822016 = 21183499
BaseRepresentation
bin1010000111001…
…00100000000000
312220121101221011
411003210200000
5133203301031
612230010304
72046655336
oct503444000
9186541834
1084822016
1143975044
12244a6994
131475b156
14b39db56
1576a76b1
hex50e4800

84822016 has 48 divisors (see below), whose sum is σ = 171990000. Its totient is φ = 41816064.

The previous prime is 84822011. The next prime is 84822029. The reversal of 84822016 is 61022848.

It is not an unprimeable number, because it can be changed into a prime (84822011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 169735 + ... + 170233.

It is an arithmetic number, because the mean of its divisors is an integer number (3583125).

Almost surely, 284822016 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 84822016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85995000).

84822016 is an abundant number, since it is smaller than the sum of its proper divisors (87167984).

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

84822016 is an equidigital number, since it uses as much as digits as its factorization.

84822016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 84822016 is about 9209.8868614115. The cubic root of 84822016 is about 439.3758643998.

The spelling of 84822016 in words is "eighty-four million, eight hundred twenty-two thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 499 512 664 998 1024 1328 1996 2048 2656 3992 5312 7984 10624 15968 21248 31936 41417 42496 63872 82834 84992 127744 165668 169984 255488 331336 510976 662672 1021952 1325344 2650688 5301376 10602752 21205504 42411008 84822016