Search a number
-
+
84535696 = 24717291531
BaseRepresentation
bin1010000100111…
…10100110010000
312220001212011201
411002132212100
5133120120241
612215520544
72044353520
oct502364620
9186055151
1084535696
1143799a13
1224389154
131468aa2b
14b327680
15764c931
hex509e990

84535696 has 80 divisors (see below), whose sum is σ = 205165440. Its totient is φ = 32901120.

The previous prime is 84535681. The next prime is 84535697. The reversal of 84535696 is 69653548.

It is not an unprimeable number, because it can be changed into a prime (84535697) 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 15 ways as a sum of consecutive naturals, for example, 54451 + ... + 55981.

It is an arithmetic number, because the mean of its divisors is an integer number (2564568).

Almost surely, 284535696 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 84535696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102582720).

84535696 is an abundant number, since it is smaller than the sum of its proper divisors (120629744).

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

84535696 is a wasteful number, since it uses less digits than its factorization.

84535696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1586 counting only the distinct ones).

The product of its digits is 777600, while the sum is 46.

The square root of 84535696 is about 9194.3295568519. The cubic root of 84535696 is about 438.8809303428.

The spelling of 84535696 in words is "eighty-four million, five hundred thirty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 29 34 56 58 68 112 116 119 136 203 232 238 272 406 464 476 493 812 952 986 1531 1624 1904 1972 3062 3248 3451 3944 6124 6902 7888 10717 12248 13804 21434 24496 26027 27608 42868 44399 52054 55216 85736 88798 104108 171472 177596 182189 208216 310793 355192 364378 416432 621586 710384 728756 754783 1243172 1457512 1509566 2486344 2915024 3019132 4972688 5283481 6038264 10566962 12076528 21133924 42267848 84535696