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84086244 = 223211415179
BaseRepresentation
bin1010000001100…
…00110111100100
312212020000122100
411000300313210
5133011224434
612202132100
72040502254
oct500606744
9185200570
1084086244
1143512270
12241b1030
1314561298
14b24b964
1575ae699
hex5030de4

84086244 has 72 divisors (see below), whose sum is σ = 237575520. Its totient is φ = 24854400.

The previous prime is 84086227. The next prime is 84086263. The reversal of 84086244 is 44268048.

84086244 is a `hidden beast` number, since 8 + 408 + 6 + 244 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 84086199 and 84086208.

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, 13647 + ... + 18825.

It is an arithmetic number, because the mean of its divisors is an integer number (3299660).

Almost surely, 284086244 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 84086244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118787760).

84086244 is an abundant number, since it is smaller than the sum of its proper divisors (153489276).

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

84086244 is a wasteful number, since it uses less digits than its factorization.

84086244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5241 (or 5236 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 84086244 is about 9169.8551787910. The cubic root of 84086244 is about 438.1017465509.

The spelling of 84086244 in words is "eighty-four million, eighty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 164 198 246 369 396 451 492 738 902 1353 1476 1804 2706 4059 5179 5412 8118 10358 15537 16236 20716 31074 46611 56969 62148 93222 113938 170907 186444 212339 227876 341814 424678 512721 637017 683628 849356 1025442 1274034 1911051 2050884 2335729 2548068 3822102 4671458 7007187 7644204 9342916 14014374 21021561 28028748 42043122 84086244