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84041226 = 2344112653
BaseRepresentation
bin1010000001001…
…01111000001010
312212010201220000
411000211320022
5133003304401
612201143430
72040224103
oct500457012
9185121800
1084041226
1143491465
122418ab76
1314546949
14b2393aa
1575a1186
hex5025e0a

84041226 has 40 divisors (see below), whose sum is σ = 192922884. Its totient is φ = 27328320.

The previous prime is 84041213. The next prime is 84041257. The reversal of 84041226 is 62214048.

It can be written as a sum of positive squares in 2 ways, for example, as 53802225 + 30239001 = 7335^2 + 5499^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 84041226.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 316 + ... + 12968.

Almost surely, 284041226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84041226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96461442).

84041226 is an abundant number, since it is smaller than the sum of its proper divisors (108881658).

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

84041226 is a wasteful number, since it uses less digits than its factorization.

84041226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12708 (or 12699 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 84041226 is about 9167.4001767131. The cubic root of 84041226 is about 438.0235491185.

The spelling of 84041226 in words is "eighty-four million, forty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 2214 3321 6642 12653 25306 37959 75918 113877 227754 341631 518773 683262 1024893 1037546 1556319 2049786 3112638 4668957 9337914 14006871 28013742 42020613 84041226