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84994884 = 223213193941
BaseRepresentation
bin1010001000011…
…10101101000100
312220221012001200
411010032231010
5133224314014
612233422500
72051305332
oct504165504
9186835050
1084994884
1143a82a07
122456aa30
13147bba40
14b406b52
1576dda09
hex510eb44

84994884 has 72 divisors (see below), whose sum is σ = 232820952. Its totient is φ = 25989120.

The previous prime is 84994873. The next prime is 84994891. The reversal of 84994884 is 48849948.

It can be written as a sum of positive squares in 4 ways, for example, as 1272384 + 83722500 = 1128^2 + 9150^2 .

Its product of digits (2654208) is a multiple of the sum of its prime divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 84994884.

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 23 ways as a sum of consecutive naturals, for example, 89854 + ... + 90794.

Almost surely, 284994884 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 84994884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116410476).

84994884 is an abundant number, since it is smaller than the sum of its proper divisors (147826068).

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

84994884 is a wasteful number, since it uses less digits than its factorization.

84994884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1152 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 84994884 is about 9219.2669990623. The cubic root of 84994884 is about 439.6741457915.

The spelling of 84994884 in words is "eighty-four million, nine hundred ninety-four thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 193 234 386 468 579 772 941 1158 1737 1882 2316 2509 2823 3474 3764 5018 5646 6948 7527 8469 10036 11292 12233 15054 16938 22581 24466 30108 33876 36699 45162 48932 73398 90324 110097 146796 181613 220194 363226 440388 544839 726452 1089678 1634517 2179356 2360969 3269034 4721938 6538068 7082907 9443876 14165814 21248721 28331628 42497442 84994884