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84471336 = 2334612137
BaseRepresentation
bin1010000100011…
…10111000101000
312212221120220000
411002032320220
5133111040321
612214303000
72043665055
oct502167050
9185846800
1084471336
1143755624
1224357a60
1314667651
14b30c02c
157638826
hex508ee28

84471336 has 80 divisors (see below), whose sum is σ = 240589140. Its totient is φ = 27682560.

The previous prime is 84471319. The next prime is 84471337. The reversal of 84471336 is 63317448.

It can be written as a sum of positive squares in 2 ways, for example, as 58522500 + 25948836 = 7650^2 + 5094^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 84471336.

It is not an unprimeable number, because it can be changed into a prime (84471337) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 38460 + ... + 40596.

Almost surely, 284471336 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 84471336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294570).

84471336 is an abundant number, since it is smaller than the sum of its proper divisors (156117804).

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

84471336 is a wasteful number, since it uses less digits than its factorization.

84471336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2203 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 84471336 is about 9190.8289071226. The cubic root of 84471336 is about 438.7695235669.

The spelling of 84471336 in words is "eighty-four million, four hundred seventy-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 162 183 216 244 324 366 488 549 648 732 1098 1464 1647 2137 2196 3294 4274 4392 4941 6411 6588 8548 9882 12822 13176 17096 19233 19764 25644 38466 39528 51288 57699 76932 115398 130357 153864 173097 230796 260714 346194 391071 461592 521428 692388 782142 1042856 1173213 1384776 1564284 2346426 3128568 3519639 4692852 7039278 9385704 10558917 14078556 21117834 28157112 42235668 84471336