Search a number
-
+
84395888 = 24173110009
BaseRepresentation
bin1010000011111…
…00011101110000
312212210202101122
411001330131300
5133101132023
612212521412
72043232103
oct501743560
9185722348
1084395888
1143703975
1224320268
131463c1c5
14b2cc73a
1576212c8
hex507c770

84395888 has 40 divisors (see below), whose sum is σ = 178738560. Its totient is φ = 38430720.

The previous prime is 84395881. The next prime is 84395893. The reversal of 84395888 is 88859348.

It is a super-2 number, since 2×843958882 = 14245331822617088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84395881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3428 + ... + 13436.

It is an arithmetic number, because the mean of its divisors is an integer number (4468464).

Almost surely, 284395888 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 84395888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89369280).

84395888 is an abundant number, since it is smaller than the sum of its proper divisors (94342672).

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

84395888 is a wasteful number, since it uses less digits than its factorization.

84395888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10065 (or 10059 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 53.

The square root of 84395888 is about 9186.7234637819. The cubic root of 84395888 is about 438.6388514538.

The spelling of 84395888 in words is "eighty-four million, three hundred ninety-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 1054 2108 4216 8432 10009 20018 40036 80072 160144 170153 310279 340306 620558 680612 1241116 1361224 2482232 2722448 4964464 5274743 10549486 21098972 42197944 84395888